In how many ways can 10 engineers and 4 doctors be seated at a round table if no two doctors sit together? * 9! x 10P4 10! x 10P4 10! x 4! 13!

Q: If a "word" is any arrangement of 3 different letters, how many 3-letter "words" can be formed from…

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Q: What does 6!2! 4!3! equal?

A: Using factorial formula:n! = n* [n-1] *[n-2] ------6! = 6*[6-1] * [6-2] * [6-3]* [6-4]* [6*5]     =…

Q: How many combination of 4 objects can be made from 6 objects, four of which are unique and 2 are…

A: It is given that  Total objects = 6 Unique objects = 4 Identical objects = 2

Q: Suppose that an outfit consists of a shirt and a pair of pants. If you have 4 different shirts and 3…

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Q: A legislative committee consists of 8 Democrats and 10 Republicans. A delegation of 4 is to be…

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Q: In how many ways can 3 boys and 3 girls sit in a circular table if the boys and girls must…

A: In how many ways can 3 boys and 3 girls in a circular table if the boys and girls must alternate ?

Q: consider a game of 4×4 Tic-tac-toe in which a player must get four in a row to win. Determine the…

A: To determine the number of 4x4 Tic-tac-toe games that end on turn 7, we need to consider the…

Q: How many zeros does 25! end with?

A: A number will have trailing zeros when 5 and at least one even number are factors of it.   Also, the…

Q: In a two-digit number, the tens-digit is greater than the units-digit. The product of these two…

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Q: 4) Finde'A, if A = -2 24 -2 32 1 -2 1

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Q: Suppose you are at a buffet and there are 10 vegetarian options and 6 options with meat. How many…

A: There are 10 vegetarian options and 6 options with meat at a buffet. The number of ways that exactly…

Q: Baseball teams have an active roster of 25 players, but only 9 players play in the field at once. Of…

A: The given data is as follows:The objective is to compute the number of ways in which one can choose…

Q: A number is divisible by 2 if

A: A number is divisible by 2 if

Q: How many different ways can the golf pro at a golf club select a foursome consisting of 1 man and 3…

A: Given,   Number of males = 8 Number of females = 11   The objective is to find how many different…

Q: how many ways can you arrange 23 books on a shelf that can only hold 7 books?

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Q: 2. If the sum of three consecutive integers equals 60, what is the

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Q: A team of 12 is being selected from 10 females and 15 males. The team must include of five females…

A: Answer - A team of 12 is being selected from 10 females and 15 males.               The team must…

Q: Mr. Smith has a classroom with a row of 8 desks. Suppose that Jessy and Jenna are part Mr. Smith's…

A: Case 1 jessy and Jenna can be seated in 1 and 5 position case 2 jessy and Jenna can be seated in 2…

Q: Four married couples have bought 8 seats in the same row for a concert. In how many different ways…

A: Four married couples have bought 8 seats in the same row for a concert. There are two possibilities…

Q: There are 49 runners in a race, and no ties. In how many ways can the first three finishers be…

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Q: In how many ways can a team of 5 people be formed from a group of 5 Germans, 3 French, and 4…

A: Such prolems can be solved by using permutation .formula used in permutation is:-Prn=n!(n-r)!where…

Q: What is the smallest number that can be represented as the sum of four positive squares (not…

A: Consider the given statement. Since we need to find a number, which is the smallest number of sum of…

Q: If A = A-1 = -5 15 4 -11 -1 3 14 -12, then 3

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Q: in a baseball league consisting of 10 teams plays each of the other teams exactly three times . How…

A: Combination formula : nCr = n! /(n-r)! r!

Q: A team of 5 people will be selected out of 9 boys and 14 girls. How many different teams can be…

A: Given that, Total number of girl = 14 Total number of boy = 9 We have to find number of different…

Q: 1. b = b 63 11 3 2. a = 3 8 4 a-3 =

A: Given query is to find the value of indicated variables.

Q: You have 4 people that want to attend a conference. There is only room for 2 people. How many…

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Q: You have 4 indistinguishable gold coins and 4 indistinguishable silver coins. Each coin has a side…

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Q: In a group of 50 patrons 18 patrons like lattes 16 patrons like espressos and 8 patrons like both…

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Q: Seven women and nine men are on the faculty in the mathematics department at a school. How many ways…

A: Given : In a Mathematics department of school ; No. of women = 7 No. of men = 9 Sample size (n) = 6…

Q: The following is known about three numbers: Three times the first number plus the second number plus…

A: So, we have the system of equations as : 3a + b + 2c = 5 a + 3c - 3b = 2 2a + 3b - c = 1 So,…

Q: qc 3 I D

A: P69C39 Pr=n!n-r!nCr=n!n-r!×r!            r!=r(r-1)(r-2).......×2×1n