Question 725718: I'm trying to solve this question: A pizzeria offers 15 diffrent toppings. How many ways can a customer order 3 diffrent toppings. I attempted to use the counting principle 15!divided by (15-3)! but it didn't really make sense. Can you please explain it to me? I want to make sure I'm using the right formula.
Answer by Edwin McCravy(20056)   (Show Source):
You can put this solution on YOUR website! It's C(15,3)    .
Here are all 455:
1. Tomato sauce, Bacon, Pepperoni
2. Tomato sauce, Bacon, Mushrooms
3. Tomato sauce, Bacon, Sausage
4. Tomato sauce, Bacon, Onion
5. Tomato sauce, Bacon, Black Olives
6. Tomato sauce, Bacon, Jalapeno
7. Tomato sauce, Bacon, Anchovies
8. Tomato sauce, Bacon, Spinach
9. Tomato sauce, Bacon, Bell peppers
10. Tomato sauce, Bacon, Garlic
11. Tomato sauce, Bacon, Basil
12. Tomato sauce, Bacon, Feta
13. Tomato sauce, Bacon, Mozzarella
14. Tomato sauce, Pepperoni, Mushrooms
15. Tomato sauce, Pepperoni, Sausage
16. Tomato sauce, Pepperoni, Onion
17. Tomato sauce, Pepperoni, Black Olives
18. Tomato sauce, Pepperoni, Jalapeno
19. Tomato sauce, Pepperoni, Anchovies
20. Tomato sauce, Pepperoni, Spinach
21. Tomato sauce, Pepperoni, Bell peppers
22. Tomato sauce, Pepperoni, Garlic
23. Tomato sauce, Pepperoni, Basil
24. Tomato sauce, Pepperoni, Feta
25. Tomato sauce, Pepperoni, Mozzarella
26. Tomato sauce, Mushrooms, Sausage
27. Tomato sauce, Mushrooms, Onion
28. Tomato sauce, Mushrooms, Black Olives
29. Tomato sauce, Mushrooms, Jalapeno
30. Tomato sauce, Mushrooms, Anchovies
31. Tomato sauce, Mushrooms, Spinach
32. Tomato sauce, Mushrooms, Bell peppers
33. Tomato sauce, Mushrooms, Garlic
34. Tomato sauce, Mushrooms, Basil
35. Tomato sauce, Mushrooms, Feta
36. Tomato sauce, Mushrooms, Mozzarella
37. Tomato sauce, Sausage, Onion
38. Tomato sauce, Sausage, Black Olives
39. Tomato sauce, Sausage, Jalapeno
40. Tomato sauce, Sausage, Anchovies
41. Tomato sauce, Sausage, Spinach
42. Tomato sauce, Sausage, Bell peppers
43. Tomato sauce, Sausage, Garlic
44. Tomato sauce, Sausage, Basil
45. Tomato sauce, Sausage, Feta
46. Tomato sauce, Sausage, Mozzarella
47. Tomato sauce, Onion, Black Olives
48. Tomato sauce, Onion, Jalapeno
49. Tomato sauce, Onion, Anchovies
50. Tomato sauce, Onion, Spinach
51. Tomato sauce, Onion, Bell peppers
52. Tomato sauce, Onion, Garlic
53. Tomato sauce, Onion, Basil
54. Tomato sauce, Onion, Feta
55. Tomato sauce, Onion, Mozzarella
56. Tomato sauce, Black Olives, Jalapeno
57. Tomato sauce, Black Olives, Anchovies
58. Tomato sauce, Black Olives, Spinach
59. Tomato sauce, Black Olives, Bell peppers
60. Tomato sauce, Black Olives, Garlic
61. Tomato sauce, Black Olives, Basil
62. Tomato sauce, Black Olives, Feta
63. Tomato sauce, Black Olives, Mozzarella
64. Tomato sauce, Jalapeno, Anchovies
65. Tomato sauce, Jalapeno, Spinach
66. Tomato sauce, Jalapeno, Bell peppers
67. Tomato sauce, Jalapeno, Garlic
68. Tomato sauce, Jalapeno, Basil
69. Tomato sauce, Jalapeno, Feta
70. Tomato sauce, Jalapeno, Mozzarella
71. Tomato sauce, Anchovies, Spinach
72. Tomato sauce, Anchovies, Bell peppers
73. Tomato sauce, Anchovies, Garlic
74. Tomato sauce, Anchovies, Basil
75. Tomato sauce, Anchovies, Feta
76. Tomato sauce, Anchovies, Mozzarella
77. Tomato sauce, Spinach, Bell peppers
78. Tomato sauce, Spinach, Garlic
79. Tomato sauce, Spinach, Basil
80. Tomato sauce, Spinach, Feta
81. Tomato sauce, Spinach, Mozzarella
82. Tomato sauce, Bell peppers, Garlic
83. Tomato sauce, Bell peppers, Basil
84. Tomato sauce, Bell peppers, Feta
85. Tomato sauce, Bell peppers, Mozzarella
86. Tomato sauce, Garlic, Basil
87. Tomato sauce, Garlic, Feta
88. Tomato sauce, Garlic, Mozzarella
89. Tomato sauce, Basil, Feta
90. Tomato sauce, Basil, Mozzarella
91. Tomato sauce, Feta, Mozzarella
92. Bacon, Pepperoni, Mushrooms
93. Bacon, Pepperoni, Sausage
94. Bacon, Pepperoni, Onion
95. Bacon, Pepperoni, Black Olives
96. Bacon, Pepperoni, Jalapeno
97. Bacon, Pepperoni, Anchovies
98. Bacon, Pepperoni, Spinach
99. Bacon, Pepperoni, Bell peppers
100. Bacon, Pepperoni, Garlic
101. Bacon, Pepperoni, Basil
102. Bacon, Pepperoni, Feta
103. Bacon, Pepperoni, Mozzarella
104. Bacon, Mushrooms, Sausage
105. Bacon, Mushrooms, Onion
106. Bacon, Mushrooms, Black Olives
107. Bacon, Mushrooms, Jalapeno
108. Bacon, Mushrooms, Anchovies
109. Bacon, Mushrooms, Spinach
110. Bacon, Mushrooms, Bell peppers
111. Bacon, Mushrooms, Garlic
112. Bacon, Mushrooms, Basil
113. Bacon, Mushrooms, Feta
114. Bacon, Mushrooms, Mozzarella
115. Bacon, Sausage, Onion
116. Bacon, Sausage, Black Olives
117. Bacon, Sausage, Jalapeno
118. Bacon, Sausage, Anchovies
119. Bacon, Sausage, Spinach
120. Bacon, Sausage, Bell peppers
121. Bacon, Sausage, Garlic
122. Bacon, Sausage, Basil
123. Bacon, Sausage, Feta
124. Bacon, Sausage, Mozzarella
125. Bacon, Onion, Black Olives
126. Bacon, Onion, Jalapeno
127. Bacon, Onion, Anchovies
128. Bacon, Onion, Spinach
129. Bacon, Onion, Bell peppers
130. Bacon, Onion, Garlic
131. Bacon, Onion, Basil
132. Bacon, Onion, Feta
133. Bacon, Onion, Mozzarella
134. Bacon, Black Olives, Jalapeno
135. Bacon, Black Olives, Anchovies
136. Bacon, Black Olives, Spinach
137. Bacon, Black Olives, Bell peppers
138. Bacon, Black Olives, Garlic
139. Bacon, Black Olives, Basil
140. Bacon, Black Olives, Feta
141. Bacon, Black Olives, Mozzarella
142. Bacon, Jalapeno, Anchovies
143. Bacon, Jalapeno, Spinach
144. Bacon, Jalapeno, Bell peppers
145. Bacon, Jalapeno, Garlic
146. Bacon, Jalapeno, Basil
147. Bacon, Jalapeno, Feta
148. Bacon, Jalapeno, Mozzarella
149. Bacon, Anchovies, Spinach
150. Bacon, Anchovies, Bell peppers
151. Bacon, Anchovies, Garlic
152. Bacon, Anchovies, Basil
153. Bacon, Anchovies, Feta
154. Bacon, Anchovies, Mozzarella
155. Bacon, Spinach, Bell peppers
156. Bacon, Spinach, Garlic
157. Bacon, Spinach, Basil
158. Bacon, Spinach, Feta
159. Bacon, Spinach, Mozzarella
160. Bacon, Bell peppers, Garlic
161. Bacon, Bell peppers, Basil
162. Bacon, Bell peppers, Feta
163. Bacon, Bell peppers, Mozzarella
164. Bacon, Garlic, Basil
165. Bacon, Garlic, Feta
166. Bacon, Garlic, Mozzarella
167. Bacon, Basil, Feta
168. Bacon, Basil, Mozzarella
169. Bacon, Feta, Mozzarella
170. Pepperoni, Mushrooms, Sausage
171. Pepperoni, Mushrooms, Onion
172. Pepperoni, Mushrooms, Black Olives
173. Pepperoni, Mushrooms, Jalapeno
174. Pepperoni, Mushrooms, Anchovies
175. Pepperoni, Mushrooms, Spinach
176. Pepperoni, Mushrooms, Bell peppers
177. Pepperoni, Mushrooms, Garlic
178. Pepperoni, Mushrooms, Basil
179. Pepperoni, Mushrooms, Feta
180. Pepperoni, Mushrooms, Mozzarella
181. Pepperoni, Sausage, Onion
182. Pepperoni, Sausage, Black Olives
183. Pepperoni, Sausage, Jalapeno
184. Pepperoni, Sausage, Anchovies
185. Pepperoni, Sausage, Spinach
186. Pepperoni, Sausage, Bell peppers
187. Pepperoni, Sausage, Garlic
188. Pepperoni, Sausage, Basil
189. Pepperoni, Sausage, Feta
190. Pepperoni, Sausage, Mozzarella
191. Pepperoni, Onion, Black Olives
192. Pepperoni, Onion, Jalapeno
193. Pepperoni, Onion, Anchovies
194. Pepperoni, Onion, Spinach
195. Pepperoni, Onion, Bell peppers
196. Pepperoni, Onion, Garlic
197. Pepperoni, Onion, Basil
198. Pepperoni, Onion, Feta
199. Pepperoni, Onion, Mozzarella
200. Pepperoni, Black Olives, Jalapeno
201. Pepperoni, Black Olives, Anchovies
202. Pepperoni, Black Olives, Spinach
203. Pepperoni, Black Olives, Bell peppers
204. Pepperoni, Black Olives, Garlic
205. Pepperoni, Black Olives, Basil
206. Pepperoni, Black Olives, Feta
207. Pepperoni, Black Olives, Mozzarella
208. Pepperoni, Jalapeno, Anchovies
209. Pepperoni, Jalapeno, Spinach
210. Pepperoni, Jalapeno, Bell peppers
211. Pepperoni, Jalapeno, Garlic
212. Pepperoni, Jalapeno, Basil
213. Pepperoni, Jalapeno, Feta
214. Pepperoni, Jalapeno, Mozzarella
215. Pepperoni, Anchovies, Spinach
216. Pepperoni, Anchovies, Bell peppers
217. Pepperoni, Anchovies, Garlic
218. Pepperoni, Anchovies, Basil
219. Pepperoni, Anchovies, Feta
220. Pepperoni, Anchovies, Mozzarella
221. Pepperoni, Spinach, Bell peppers
222. Pepperoni, Spinach, Garlic
223. Pepperoni, Spinach, Basil
224. Pepperoni, Spinach, Feta
225. Pepperoni, Spinach, Mozzarella
226. Pepperoni, Bell peppers, Garlic
227. Pepperoni, Bell peppers, Basil
228. Pepperoni, Bell peppers, Feta
229. Pepperoni, Bell peppers, Mozzarella
230. Pepperoni, Garlic, Basil
231. Pepperoni, Garlic, Feta
232. Pepperoni, Garlic, Mozzarella
233. Pepperoni, Basil, Feta
234. Pepperoni, Basil, Mozzarella
235. Pepperoni, Feta, Mozzarella
236. Mushrooms, Sausage, Onion
237. Mushrooms, Sausage, Black Olives
238. Mushrooms, Sausage, Jalapeno
239. Mushrooms, Sausage, Anchovies
240. Mushrooms, Sausage, Spinach
241. Mushrooms, Sausage, Bell peppers
242. Mushrooms, Sausage, Garlic
243. Mushrooms, Sausage, Basil
244. Mushrooms, Sausage, Feta
245. Mushrooms, Sausage, Mozzarella
246. Mushrooms, Onion, Black Olives
247. Mushrooms, Onion, Jalapeno
248. Mushrooms, Onion, Anchovies
249. Mushrooms, Onion, Spinach
250. Mushrooms, Onion, Bell peppers
251. Mushrooms, Onion, Garlic
252. Mushrooms, Onion, Basil
253. Mushrooms, Onion, Feta
254. Mushrooms, Onion, Mozzarella
255. Mushrooms, Black Olives, Jalapeno
256. Mushrooms, Black Olives, Anchovies
257. Mushrooms, Black Olives, Spinach
258. Mushrooms, Black Olives, Bell peppers
259. Mushrooms, Black Olives, Garlic
260. Mushrooms, Black Olives, Basil
261. Mushrooms, Black Olives, Feta
262. Mushrooms, Black Olives, Mozzarella
263. Mushrooms, Jalapeno, Anchovies
264. Mushrooms, Jalapeno, Spinach
265. Mushrooms, Jalapeno, Bell peppers
266. Mushrooms, Jalapeno, Garlic
267. Mushrooms, Jalapeno, Basil
268. Mushrooms, Jalapeno, Feta
269. Mushrooms, Jalapeno, Mozzarella
270. Mushrooms, Anchovies, Spinach
271. Mushrooms, Anchovies, Bell peppers
272. Mushrooms, Anchovies, Garlic
273. Mushrooms, Anchovies, Basil
274. Mushrooms, Anchovies, Feta
275. Mushrooms, Anchovies, Mozzarella
276. Mushrooms, Spinach, Bell peppers
277. Mushrooms, Spinach, Garlic
278. Mushrooms, Spinach, Basil
279. Mushrooms, Spinach, Feta
280. Mushrooms, Spinach, Mozzarella
281. Mushrooms, Bell peppers, Garlic
282. Mushrooms, Bell peppers, Basil
283. Mushrooms, Bell peppers, Feta
284. Mushrooms, Bell peppers, Mozzarella
285. Mushrooms, Garlic, Basil
286. Mushrooms, Garlic, Feta
287. Mushrooms, Garlic, Mozzarella
288. Mushrooms, Basil, Feta
289. Mushrooms, Basil, Mozzarella
290. Mushrooms, Feta, Mozzarella
291. Sausage, Onion, Black Olives
292. Sausage, Onion, Jalapeno
293. Sausage, Onion, Anchovies
294. Sausage, Onion, Spinach
295. Sausage, Onion, Bell peppers
296. Sausage, Onion, Garlic
297. Sausage, Onion, Basil
298. Sausage, Onion, Feta
299. Sausage, Onion, Mozzarella
300. Sausage, Black Olives, Jalapeno
301. Sausage, Black Olives, Anchovies
302. Sausage, Black Olives, Spinach
303. Sausage, Black Olives, Bell peppers
304. Sausage, Black Olives, Garlic
305. Sausage, Black Olives, Basil
306. Sausage, Black Olives, Feta
307. Sausage, Black Olives, Mozzarella
308. Sausage, Jalapeno, Anchovies
309. Sausage, Jalapeno, Spinach
310. Sausage, Jalapeno, Bell peppers
311. Sausage, Jalapeno, Garlic
312. Sausage, Jalapeno, Basil
313. Sausage, Jalapeno, Feta
314. Sausage, Jalapeno, Mozzarella
315. Sausage, Anchovies, Spinach
316. Sausage, Anchovies, Bell peppers
317. Sausage, Anchovies, Garlic
318. Sausage, Anchovies, Basil
319. Sausage, Anchovies, Feta
320. Sausage, Anchovies, Mozzarella
321. Sausage, Spinach, Bell peppers
322. Sausage, Spinach, Garlic
323. Sausage, Spinach, Basil
324. Sausage, Spinach, Feta
325. Sausage, Spinach, Mozzarella
326. Sausage, Bell peppers, Garlic
327. Sausage, Bell peppers, Basil
328. Sausage, Bell peppers, Feta
329. Sausage, Bell peppers, Mozzarella
330. Sausage, Garlic, Basil
331. Sausage, Garlic, Feta
332. Sausage, Garlic, Mozzarella
333. Sausage, Basil, Feta
334. Sausage, Basil, Mozzarella
335. Sausage, Feta, Mozzarella
336. Onion, Black Olives, Jalapeno
337. Onion, Black Olives, Anchovies
338. Onion, Black Olives, Spinach
339. Onion, Black Olives, Bell peppers
340. Onion, Black Olives, Garlic
341. Onion, Black Olives, Basil
342. Onion, Black Olives, Feta
343. Onion, Black Olives, Mozzarella
344. Onion, Jalapeno, Anchovies
345. Onion, Jalapeno, Spinach
346. Onion, Jalapeno, Bell peppers
347. Onion, Jalapeno, Garlic
348. Onion, Jalapeno, Basil
349. Onion, Jalapeno, Feta
350. Onion, Jalapeno, Mozzarella
351. Onion, Anchovies, Spinach
352. Onion, Anchovies, Bell peppers
353. Onion, Anchovies, Garlic
354. Onion, Anchovies, Basil
355. Onion, Anchovies, Feta
356. Onion, Anchovies, Mozzarella
357. Onion, Spinach, Bell peppers
358. Onion, Spinach, Garlic
359. Onion, Spinach, Basil
360. Onion, Spinach, Feta
361. Onion, Spinach, Mozzarella
362. Onion, Bell peppers, Garlic
363. Onion, Bell peppers, Basil
364. Onion, Bell peppers, Feta
365. Onion, Bell peppers, Mozzarella
366. Onion, Garlic, Basil
367. Onion, Garlic, Feta
368. Onion, Garlic, Mozzarella
369. Onion, Basil, Feta
370. Onion, Basil, Mozzarella
371. Onion, Feta, Mozzarella
372. Black Olives, Jalapeno, Anchovies
373. Black Olives, Jalapeno, Spinach
374. Black Olives, Jalapeno, Bell peppers
375. Black Olives, Jalapeno, Garlic
376. Black Olives, Jalapeno, Basil
377. Black Olives, Jalapeno, Feta
378. Black Olives, Jalapeno, Mozzarella
379. Black Olives, Anchovies, Spinach
380. Black Olives, Anchovies, Bell peppers
381. Black Olives, Anchovies, Garlic
382. Black Olives, Anchovies, Basil
383. Black Olives, Anchovies, Feta
384. Black Olives, Anchovies, Mozzarella
385. Black Olives, Spinach, Bell peppers
386. Black Olives, Spinach, Garlic
387. Black Olives, Spinach, Basil
388. Black Olives, Spinach, Feta
389. Black Olives, Spinach, Mozzarella
390. Black Olives, Bell peppers, Garlic
391. Black Olives, Bell peppers, Basil
392. Black Olives, Bell peppers, Feta
393. Black Olives, Bell peppers, Mozzarella
394. Black Olives, Garlic, Basil
395. Black Olives, Garlic, Feta
396. Black Olives, Garlic, Mozzarella
397. Black Olives, Basil, Feta
398. Black Olives, Basil, Mozzarella
399. Black Olives, Feta, Mozzarella
400. Jalapeno, Anchovies, Spinach
401. Jalapeno, Anchovies, Bell peppers
402. Jalapeno, Anchovies, Garlic
403. Jalapeno, Anchovies, Basil
404. Jalapeno, Anchovies, Feta
405. Jalapeno, Anchovies, Mozzarella
406. Jalapeno, Spinach, Bell peppers
407. Jalapeno, Spinach, Garlic
408. Jalapeno, Spinach, Basil
409. Jalapeno, Spinach, Feta
410. Jalapeno, Spinach, Mozzarella
411. Jalapeno, Bell peppers, Garlic
412. Jalapeno, Bell peppers, Basil
413. Jalapeno, Bell peppers, Feta
414. Jalapeno, Bell peppers, Mozzarella
415. Jalapeno, Garlic, Basil
416. Jalapeno, Garlic, Feta
417. Jalapeno, Garlic, Mozzarella
418. Jalapeno, Basil, Feta
419. Jalapeno, Basil, Mozzarella
420. Jalapeno, Feta, Mozzarella
421. Anchovies, Spinach, Bell peppers
422. Anchovies, Spinach, Garlic
423. Anchovies, Spinach, Basil
424. Anchovies, Spinach, Feta
425. Anchovies, Spinach, Mozzarella
426. Anchovies, Bell peppers, Garlic
427. Anchovies, Bell peppers, Basil
428. Anchovies, Bell peppers, Feta
429. Anchovies, Bell peppers, Mozzarella
430. Anchovies, Garlic, Basil
431. Anchovies, Garlic, Feta
432. Anchovies, Garlic, Mozzarella
433. Anchovies, Basil, Feta
434. Anchovies, Basil, Mozzarella
435. Anchovies, Feta, Mozzarella
436. Spinach, Bell peppers, Garlic
437. Spinach, Bell peppers, Basil
438. Spinach, Bell peppers, Feta
439. Spinach, Bell peppers, Mozzarella
440. Spinach, Garlic, Basil
441. Spinach, Garlic, Feta
442. Spinach, Garlic, Mozzarella
443. Spinach, Basil, Feta
444. Spinach, Basil, Mozzarella
445. Spinach, Feta, Mozzarella
446. Bell peppers, Garlic, Basil
447. Bell peppers, Garlic, Feta
448. Bell peppers, Garlic, Mozzarella
449. Bell peppers, Basil, Feta
450. Bell peppers, Basil, Mozzarella
451. Bell peppers, Feta, Mozzarella
452. Garlic, Basil, Feta
453. Garlic, Basil, Mozzarella
454. Garlic, Feta, Mozzarella
455. Basil, Feta, Mozzarella
Edwin
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