Tutors Answer Your Questions about Permutations (FREE)
Question 91014: A total of 14 people - 8 men and 6 women have applied for admission to a business school. The school has 5 openings.
a. How many ways are there of selecting the students to be admitted?
b. How many ways are there if at least 4 of them must be women?
c. How many ways are there if at least 3 of them must be women?
d. How many ways if exatly 3 of them must be men?
e. How many ways if at least one of them must be a man?
Thank you all for your help. I appreciate it!
Click here to see answer by stanbon(75887)  |
Question 92264: Please explain thoroughly the solutions to the following questions. thanks. :)
Consider placing three(3) balls into three(4) boxes labeled A, B, and C. In how many ways can this be done
a) if the three balls are of the same color and each box can hold at most one ball?
b) if the three balls are of the same color and each box can hold at most three balls?
Click here to see answer by checkley71(8403) |
Question 92263: Please help me. Please explain the answers/solutions to the following questions thouroughly. thanks
In how many ways can a committee of six(6) members be selected from ten(8) students, namely, A, B, C, D, E, F, G and H, so that
a) at least one of the students A, F, and H will be included in the committee?
b) not one of A, F, and H is included in the committee?
Click here to see answer by stanbon(75887) |
Question 92750: Please help me explain thoroughly the answer to the following questions? thank you so much
Consider a multiple-choice exam with 15 items and each item has 3 choices. and a student must answer all the items:
a) in how many ways can the student answer it and all his/her answers are correct?
b.) In how many ways can a student answer the exam and answer exactly four items correctly?
c) In how many ways can a student answer the exam and answer at least one(1) item correctly?
Click here to see answer by scott8148(6628)  |
Question 92835: A license plate number consists of 1,2 or 3 capital letters followed by 4 digits (ranging from 0 to 9). Some possible care license plate numbers are B1930, C2970, YO4001, DUH2093. HOW MANY PSSIBLE LICENSE PLATE NUMBERS ARE THERE
a: if repetition of letters and digits is allowed
b: if repetetion of letters and digits is not allowed
Click here to see answer by stanbon(75887) |
Question 92887: M needs to choose seven different pairs of shoes from her collection of twelve(12) pairs to wear during the week. In how many ways can she do this
a) if she simply wants to select seven pairs
b) if the first pair she selects will be worn on Sunday; the second pair on monday; the third on tuesday and so on..
Need help ASAP.. thanks really.. appreciate it
Click here to see answer by psbhowmick(878)  |
Question 92850: Anna has 12 pairs of shoes and she needs to choose seven different pairs to wear during the week. In how many ways can she do this:
a) if she simply wants to select seven pairs
b) if the first pair she selected will be worn on Sunday, the second on Monday; the third on Tuesday and so on..
Click here to see answer by psbhowmick(878) |
Question 93300: The menu at a restaurant has 11 appetizers, 15 entrees, 10 desserts, and 8 beverages. The restaurant offers a dinner special that includes 1 appetizer, 1 entree, 1 dessert, and 1 beverage. In how many ways can a person order a dinner special at this restaurant?
Click here to see answer by stanbon(75887) |
Question 93300: The menu at a restaurant has 11 appetizers, 15 entrees, 10 desserts, and 8 beverages. The restaurant offers a dinner special that includes 1 appetizer, 1 entree, 1 dessert, and 1 beverage. In how many ways can a person order a dinner special at this restaurant?
Click here to see answer by checkley75(3666) |
Question 93530: Combinations
Question: Find the number of ways in which each committee can be selected.
1. a committe of 5 people from a group of 8 people
2. a committe of 2 people from a group of 16 people
3. a committe of 4 people from a group of 7people
4. a committe of 8 people from a group of 15people
5. a committe of 3 people from a group of 8 people
Question: At luncheon guest are offered a selection of 4 diffrent grilled vegetables and 5 diffrent relishes. In how many ways can the following items be chosen?
6. 2 vegetables and 3 relishes
7. 3 vegetables and 2 relishes
8. 4 vegetables and 4 relishes
9. 3 vegetables and 3 relishes
Question: A bag contains 8 white marbles and 7 blue marbles. Find the probability of selecting each combination
10. 2 white and 3 blue
11. 3 white and 2 blue
12. 4 white and 1 blue
Click here to see answer by stanbon(75887) |
Question 93528: Permutations
1. taking all 7 letters at a time
2. taking 5 letts at a time
3. taking 4 letters at a time
4. taking 3 letters at a time
Question: in how many ways can 12 books be displayed on a shelf if the given number of books are available?
5. 12 books
6. 14 books
7. 15 books
8. 20 books
Question: Find the number of permutations of the letters in each word.
9. geometry
10. algebra
11. addition
12. calculus
13. mathematics
14. arithmetic
Click here to see answer by stanbon(75887) |
Question 93418: 1) How many phone numbers in Chicago can have the area code 312?
I am stuck on this problem. I figure that there are 10 numbers from 0 to 9 and that 0 and 1 are not used at all, therefore, this leaves 8 digits. This is as far as I have gotten.
Click here to see answer by stanbon(75887) |
Question 93736: 1. A committee of four people is to be chosen from a group of five women and six men. In how many ways can this be done if:
a. There are no restrictions
b. The committee is to have exactly two men?
c. The committee is to have at most two men?
2. A jar contains six black and five white marbles. Two marbles are drawn from the jar without replacement. Find the indicated probabilities.
a. P(two white marbles)
b. P(one white and one black marble)
Thank you so much!
Click here to see answer by stanbon(75887) |
Question 93735: Evaluate 9P2
Evaluate 9C2
A group of three men and two women are to be seated in a row of five chairs. In how many ways can this be done if:
a. There are no restrictions?
b. The men and women must alternate?
c. The two women must be seated at the ends of the rows?
Thank you so much for your help! Caroline
Click here to see answer by stanbon(75887) |
Question 95385: I need help with this problem: There is someone who needs change for a dollar. Using nickles, dimes, &/or quarters, how many possable combonations to make a dollar are there?; I need an easier way to figue this out. BTW I am a 7th grader in Pre-AP Pre-Algebra so I'm going to bookmark this page.
Click here to see answer by scott8148(6628) |
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Older solutions: 1..45, 46..90, 91..135, 136..180, 181..225, 226..270, 271..315, 316..360, 361..405, 406..450, 451..495, 496..540, 541..585, 586..630, 631..675, 676..720, 721..765, 766..810, 811..855, 856..900, 901..945, 946..990, 991..1035, 1036..1080, 1081..1125, 1126..1170, 1171..1215, 1216..1260, 1261..1305, 1306..1350, 1351..1395, 1396..1440, 1441..1485, 1486..1530, 1531..1575, 1576..1620, 1621..1665, 1666..1710, 1711..1755, 1756..1800, 1801..1845, 1846..1890, 1891..1935, 1936..1980, 1981..2025, 2026..2070, 2071..2115, 2116..2160, 2161..2205, 2206..2250, 2251..2295, 2296..2340, 2341..2385, 2386..2430, 2431..2475, 2476..2520, 2521..2565, 2566..2610, 2611..2655, 2656..2700, 2701..2745, 2746..2790, 2791..2835, 2836..2880, 2881..2925, 2926..2970, 2971..3015, 3016..3060, 3061..3105, 3106..3150, 3151..3195, 3196..3240, 3241..3285, 3286..3330, 3331..3375, 3376..3420, 3421..3465, 3466..3510, 3511..3555, 3556..3600, 3601..3645, 3646..3690, 3691..3735, 3736..3780, 3781..3825, 3826..3870, 3871..3915, 3916..3960, 3961..4005, 4006..4050, 4051..4095, 4096..4140, 4141..4185, 4186..4230, 4231..4275, 4276..4320, 4321..4365, 4366..4410, 4411..4455, 4456..4500, 4501..4545, 4546..4590, 4591..4635, 4636..4680, 4681..4725, 4726..4770, 4771..4815, 4816..4860, 4861..4905, 4906..4950, 4951..4995, 4996..5040, 5041..5085, 5086..5130, 5131..5175, 5176..5220, 5221..5265, 5266..5310, 5311..5355, 5356..5400, 5401..5445, 5446..5490, 5491..5535, 5536..5580, 5581..5625, 5626..5670, 5671..5715, 5716..5760, 5761..5805, 5806..5850, 5851..5895, 5896..5940, 5941..5985, 5986..6030, 6031..6075, 6076..6120, 6121..6165, 6166..6210, 6211..6255, 6256..6300, 6301..6345, 6346..6390, 6391..6435, 6436..6480, 6481..6525, 6526..6570, 6571..6615, 6616..6660, 6661..6705, 6706..6750, 6751..6795, 6796..6840, 6841..6885, 6886..6930, 6931..6975, 6976..7020, 7021..7065, 7066..7110, 7111..7155, 7156..7200, 7201..7245, 7246..7290, 7291..7335, 7336..7380, 7381..7425, 7426..7470, 7471..7515, 7516..7560, 7561..7605, 7606..7650, 7651..7695, 7696..7740, 7741..7785, 7786..7830, 7831..7875, 7876..7920, 7921..7965, 7966..8010, 8011..8055, 8056..8100, 8101..8145, 8146..8190, 8191..8235, 8236..8280, 8281..8325, 8326..8370, 8371..8415, 8416..8460, 8461..8505, 8506..8550, 8551..8595, 8596..8640, 8641..8685, 8686..8730, 8731..8775, 8776..8820, 8821..8865, 8866..8910, 8911..8955, 8956..9000, 9001..9045, 9046..9090, 9091..9135, 9136..9180, 9181..9225, 9226..9270, 9271..9315, 9316..9360, 9361..9405, 9406..9450, 9451..9495, 9496..9540, 9541..9585, 9586..9630, 9631..9675, 9676..9720, 9721..9765, 9766..9810, 9811..9855, 9856..9900, 9901..9945, 9946..9990, 9991..10035
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