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Question 1192162: There are ten performers in a school talent show.
Which is the number of ways the performers can be arranged by different order of appearance?
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Question 1192161: Standard automobile license plates in a country display 2 numbers, followed by 4 letters, followed by 2 numbers. How many different standard plates are possible in this system? (Assume repetitions of letters and numbers are allowed.)
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Question 1192163: A school dance committee is to consist of 2 freshmen, 3 sophomores, 4 juniors, and 5 seniors. If 7 freshmen, 7 sophomores, 8 juniors, and 8 seniors are eligible to be on the committee, in how many ways can the committee be chosen?
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Question 1192178: Suppose you flip a coin and keep a record of the results. In how many ways could you obtain at least one head if you flip the coin six times?

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Question 1192203: Find the number of permutations of 10 numbers in a spinner?
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Question 1192164: A shipment of 141 laptops contains 7 defective laptops. A quality control specialist chooses a sample of 8 laptops from the shipment.
How many possible choices of 8 laptops can be made?
How many of these possible selections will not contain any defective laptops?
How many of the possible selections will contain at least one defective laptop?
How many of the possible selections will contain exactly one defective laptop?

Click here to see answer by ikleyn(52781)

Question 1192236: Many lotteries are based on random draws of numbers. For each set of rules described, determine how many possible different results exist, then find the probability of a player winning if they purchase a single ticket.
Express all probabilities as decimals, rounded to six places.
Five numbers are drawn from twenty options; players must match the set of numbers chosen (in any order).
Possible draw results:
Probability of winning on 1 ticket:
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Question 1192253: A program is planned to have 4 musical numbers and 4 speeches. In how many ways can this be done if a musical number and a speech are to alternate and a musical number is to come first?
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Question 1192273: Registrants at a large convention are offered 6
sightseeing tours on each of 3 days. In how many
ways can a person arrange to go on a sightseeing tour
planned by this convention?

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Question 1192277: A 6-member committee is to be formed in a hospital unit that has 8 RNs and 4 LPNs. If the committee must have at least 3 LPNs, how many different committees could be formed given these conditions?
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Question 1192276: a standard deck of cards has 52 cards composed of 13 hearts, 13 diamonds, 13 spades, and 13 clubs. in how many ways can hands composed of 5 cards be drawn if they must contain exactly three diamonds?
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Question 1192274: A 6-member committee is to be formed in a hospital unit that has 8 RNs and 4 LPNs. If the committee must have at least 3 LPNs. How many different committees could be formed given these conditions?
Click here to see answer by ikleyn(52781)

Question 1192407: A committee of 5 people is to be chosen from a group of 6 men and 4 women. How
many committees are possible if there are two men only?
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Question 1192395: How many ways can a group of six golfers tee off in succession?

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Question 1192395: How many ways can a group of six golfers tee off in succession?

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Question 1192505: In 11!/r!(11,r)! - 6 = C(18,17), what is the value of r. Show the solution.
Click here to see answer by greenestamps(13200)

Question 1192625: How many different 4-letter permutations can be formed from the letters in the word WESTINGHOUSE?
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Question 1192625: How many different 4-letter permutations can be formed from the letters in the word WESTINGHOUSE?
Click here to see answer by math_tutor2020(3817)

Question 1192636: In how many ways can the first, second and third place winners be selected from 8
contestants?

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Question 1192636: In how many ways can the first, second and third place winners be selected from 8
contestants?

Click here to see answer by Alan3354(69443)

Question 1192637: Seven Grade 10 learners volunteered to join the promotions committee
that will support the projects of the school’s supreme student government.
In how many different ways can 4 learners be selected in the promotions committee?
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Question 1192639: Draw all the diagonals of the hexagon and find out the total number of diagonals that can
be drawn on it. (Note: A diagonal can only be counted once.)
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Question 1192641: Find the number of diagonals using a formula. (Note: Remember to subtract the 6 segments
connecting the points H,O,N,E,S,T from your solution because these segments are the sides
not adiagonal.)
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Question 1192735: A Math teacher has 3 Algebra books, 5 Geometry books, 4 Trigonometry books, and 3 Statistics books. If Statistics, Trigonometry, Algebra, then Geometry books are arranged in that order, in how many ways can this be done?. Show the solution.
Click here to see answer by math_helper(2461)

Question 1192737: A tutorial committee of two turtors and five brilliant students is to be formed among six turtors and ten students.in how many ways can this be done if one particular tutor must be one of the committee and two particular students must not be on the committee
Click here to see answer by greenestamps(13200)

Question 1192828: How many 4-digit numbers can be formed by using 2, 4, 6, 8, 10,12 without repetition of digits? if it is a combination.
Click here to see answer by Edwin McCravy(20055)

Question 1192828: How many 4-digit numbers can be formed by using 2, 4, 6, 8, 10,12 without repetition of digits? if it is a combination.
Click here to see answer by ikleyn(52781)

Question 1192902: Did I solve the below word problem correctly using Permutation?
How many ways and 7 red flags, 1 white flag, 1 yellow flag and 2 blue flags be arranged on a pole?
7!/2! = 7 *6 / 2 = 21
Thank you
Click here to see answer by greenestamps(13200)

Question 1192729: A 10-peso coin and 20-peso coin are tossed. List the elements of the sample space.
A. If we are interested on whether the 10-peso coin land heads(H) or tails (T).
B. If we are interested only on the number of tails that appear on a single toss of two coins.
C. If we are interested on whether the coin match (M) or do not match (D).
Click here to see answer by greenestamps(13200)

Question 1192731: How many ways can three boys and three girls be arranged in a circle if the girls must remain next to each other? Show the solution.
Click here to see answer by math_helper(2461)

Question 1193059: There is a box with a padlock You can open the box if you will be able to know the 4-digit code in the padlock. If the first digit of the 4-digit code is 5, how many possible codes are there if the repetition of the digit code is allowed?

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Question 1193128: In how many ways can 5 people be seated around a circular table if two of them insist on sitting besides each other?
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Question 1193292: 13 people want to play a game. There can be any number of people on each team but only 2 teams total. How many combinations of teams can be formed?
I need steps and answer using nCr formula.
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Question 1193325: A bank teller is needed in each of the 7 branches. If there are 10 equally qualified applicants, how many ways can the job be filled?
Click here to see answer by ikleyn(52781)

Question 1193363: Find the number of distinguishable permutations of the digits of the number 348838.
Show your solution.
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Question 1193362: In how many different ways can 12 people occupy the 12 seats in a front row of a mini theater? Show your solution.
Click here to see answer by ikleyn(52781)

Question 1193416: In how many ways can the judges in the Mutya ng Pilipinas pageant choose the Philippine representatives to the Miss World and Miss Asia beauty contests from among 10 finalists?

Click here to see answer by math_tutor2020(3817)

Question 1193451: How many 3 digit numbers can be formed less than 450 with and without repetition from the numbers 0,1,2,3,4,5,6?
Click here to see answer by ikleyn(52781)

Question 1193509: In how many ways can a president and a secretary be choosen from a group of 7 people

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Question 1193547: A man possesses 24 books, all different. In how many ways can he arrange 12 of them on a shelf?
Click here to see answer by Boreal(15235)

Question 1193547: A man possesses 24 books, all different. In how many ways can he arrange 12 of them on a shelf?
Click here to see answer by ikleyn(52781)

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