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Question 1176913: A sundae is made from a scoop of ice cream, a sauce, and a topping sprinkled over top.
We have chocolate, vanilla and strawberry ice cream; hot fudge, caramel, strawberry, and marshmallow sauce; and peanuts, chopped cherries, chocolate jimmies, or rainbow nonpareils to go on top.
How many distinct sundaes can be made?
Click here to see answer by Boreal(15235)

Question 1177039: one freshman three sophomores four juniors and six seniors apply for five positions for the h
honors council if the council must have at least two seniors in how many ways can the council be selected

Click here to see answer by greenestamps(13198)

Question 1177055: 1. A and B play 12 games of chess of which 6 are won by A,4 are won by B and two ends in a tie. They agree to play a tournament consisting of 3 games. Find the probability that
a) A wins all three games
b) Two games end in a tie
c) A and B wins alternatively
d) B wins at least one game
Click here to see answer by ewatrrr(24785)

Question 1177054: A and B plays 12 games of chess of which 6 are won by A, 4 are won by B and two ends on a tie. They agree to play a tournament consistian of 3 games. Find the probability that A wins all three games.
Click here to see answer by ewatrrr(24785)

Question 1177140: The following question was answered by you, however, I am having a difficult time understanding the work that was provided. It was confusing - please try again.
Write the following expression without using the factorial symbol...
nC3+nC2+nC1
Click here to see answer by ikleyn(52778)

Question 1177139: Write the following expression without using the factorial symbol.
(n-4)!/3!(n-2)!
Click here to see answer by ikleyn(52778)

Question 1177389: Suppose we want to choose 7 colors, without replacement, from distinct 12 colors.

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Question 1177374: An office consists of seven men and four women. If three are chosen for a committee, how many of these committees will contain exactly one woman. Please help me understand the process of solving this question; is the multiplicative principle used or is the additive principle used?

Click here to see answer by ikleyn(52778)

Question 1177371: An office consists of seven men and four women. How many of these committees will contain exactly one woman. Please help me understand the process of solving this question; is the multiplicative principle used or is the additive principle used?
Click here to see answer by ikleyn(52778)

Question 1177380: There are a group of 48 students enrolled in mathematics, french and physics. Some students were more successful then others: 32 passed French, 27 passed physics, 33 passed mathematics; 26 passed French and math, 26 passed physics and math, 21 passed french and physics, and 21 passed French, math and physics.
How many students passed one or more of the subjects? Solve the question using the inclusion-exclusion principle. Show your calculations.
Click here to see answer by ikleyn(52778)

Question 1177501: There are 8 different cell phones in total.
You want to buy two cell phones. In how many ways can a group of two cell phones be selected?

You want to buy two cell phones. One cell phone is for your mom and the other one is for your dad. How many different ways are there? (optional)

Click here to see answer by Boreal(15235)

Question 1177522: How many 4-digit even numbers can be created from the digits {0, 1, 2, 3}?
Click here to see answer by ikleyn(52778)

Question 1177524: 12 stalks of flower consisting of 3 red flowers, 4 blue flowers and 5 white flowers will be attached onto a string to make a wreath of flowers. Calculate the number of ways to arrange the flowers to make the wreath
Click here to see answer by greenestamps(13198)

Question 1177599: Supposed your computer password must contain four characters, must begin with a letter, and may contain digits and letters only. How many different passwords can you create. (Note that in a password, upper case letters are different from lower case letters.)
Click here to see answer by ikleyn(52778)

Question 1177605: A club with eighteen members is to choose three officers: president, vice-president, and secretary-treasurer. If each office is to be held by one person and no person can hold more than one office, in how many ways can those offices be filled?
Click here to see answer by ikleyn(52778)

Question 1177665: How many ways are there to arrange all of the letters in the word 'AARDVARK'?
Is it just 8! or are there restrictions because of the multiple A's
Click here to see answer by math_helper(2461)

Question 1177668: How many ways are there to arrange all of the letters in the word 'TRIAL' if each arrangement must start with a vowel. Please show steps.
Click here to see answer by math_helper(2461)

Question 1177669: Deepa's house is 5 blocks west and 4 blocks south of a bus stop. A store is 3 blocks west and 1 block south of the bus stop. How many ways can Deepa walk home if she wishes to stop at the store on her way home by walking only west and south? Please show step by step.
Click here to see answer by greenestamps(13198)

Question 1177688: There are twenty bikers who joined the race. In how many possible ways can they be arranged as first, second,third,and fourth placers?
Click here to see answer by ikleyn(52778)

Question 1177693: What word has 30 unique permutations of letters?
Click here to see answer by ikleyn(52778)

Question 1177691: How many 3-digit even numbers can be formed from the digits 1,2,6,8, and 9 if no repetition is allowed?
Click here to see answer by math_helper(2461)

Question 1177690: In how many ways can 7 differently colored beads be threaded on a string?
Click here to see answer by ikleyn(52778)

Question 1177692: There are 8 boys and 7 girls in a team. In how many ways can they be arranged on a worktable if boys and girls are in separate groups?
Click here to see answer by greenestamps(13198)

Question 1177749: Evaluate the expression.
P(7, 3) · P(3, 2)
Click here to see answer by MathLover1(20849)

Question 1177747: 5-3i+4+zi
I(2+3i)
(4-5i)(4+5i)
(4+7i)-(2-5i)
Solve the equation in complex number
Click here to see answer by ikleyn(52778)

Question 1177747: 5-3i+4+zi
I(2+3i)
(4-5i)(4+5i)
(4+7i)-(2-5i)
Solve the equation in complex number
Click here to see answer by Alan3354(69443)

Question 1177742: There are o hot air balloons in a race.In how many possible orders can all 8 hot air balloons finish the race ?

Click here to see answer by ikleyn(52778)

Question 1177744: There are 8 hot air balloons in a race.In how many possible orders can 8 hot air balloons finish the race ?
Click here to see answer by ikleyn(52778)

Question 1177667: How many ways can you deal a hand of 13 playing cards that contain 4 spades, 7 diamonds, and two hearts. It is a standard 52 card deck. Leave the answer in factorial form
Click here to see answer by greenestamps(13198)

Question 1177777: In how many ways can a visiting nurse see seven patients if she sees them all in one day?
Click here to see answer by ikleyn(52778)

Question 1177778: In how many different ways if there are three gates to enter the school and using the same for leaving?
Click here to see answer by ikleyn(52778)

Question 1177826: Anna is choosing and arranging a set of 3 dresses from a set of 10 dresses. How many ways are possible?
Click here to see answer by ikleyn(52778)

Question 1177883: How many 4 digit number can be formed from the digits 0-9
Click here to see answer by math_helper(2461)

Question 1177884: There are 3 green flags,3white flags,2red flags,using all these flags,how many signals can be given?

Click here to see answer by mananth(16946)

Question 1177884: There are 3 green flags,3white flags,2red flags,using all these flags,how many signals can be given?

Click here to see answer by ikleyn(52778)

Question 1177880: How many 4 digit numbers can be formed from the digits 0-9
Click here to see answer by MathLover1(20849)

Question 1177889: Amy, Linda, Mark, Kelsie, Ryan, Angie, and Matthew are the seven players in a round-robin tennis tournament. Each player will play a set against each of the other players. List all the sets that need to be played.
Click here to see answer by ikleyn(52778)

Question 1177888: Melinda’s son has $6.00 he wants to spend on storybooks and superhero cards. Storybooks cost 60 cents each and the deluxe package of superhero cards cost $1.20 each. List all the ways he can spend all his money on storybooks, superhero cards, or both.
Click here to see answer by ikleyn(52778)

Question 1177887: In how many ways can 4 married couples seat themselves around a circular table if they can sit anywhere?
Click here to see answer by ikleyn(52778)

Question 1177885: In how many ways can 6 boys and 5 girls be seated in a circular manner?
Click here to see answer by ikleyn(52778)

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