3. A sports team has ten long distance runners, eight sprinters and five jumpers. A team of three long distance runners, five sprinters and two jumpers is to be selected. Find the number of ways of which the team can be selected (

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A: There are 30 female and 20 male students.

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A: Solution: From the given information, there are 8 women and 7 men. Here, 6 people are chosen at…

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A: There are 18 males and 14 females in a classroom. A president, secretary and vice president must be…

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A:

Q: a law firm has 8 male and 6 females lwayers. a committee of 5, two male lawyers and 3 female…

A: The objective of the question is to find out the number of possible committees that can be formed…

Q: a law firm has 8 male and 6 females lwayers. a committee of 5, two male lawyers and 3 female…

A: The objective of this question is to find out the number of possible committees that can be formed…

Q: lon.)

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A: n= 9 R = 5 D = 4 Using the combination formula. Ways of selecting 3 members from 9 are:

Q: How many committees are possible if the committee must have a least two men?

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A: The main objective is to find the permutations for the given problems.

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A: 20 families are chosen from 97 families at least 18 must have at most 2 children So let no of…

Q: A law firm has ten male and ten female lawyers. A committee of five, two male lawyers and three…

A: Given: A law firm has ten male and ten female lawyers. A committee of five lawyers, in which two…

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A: It is given that n=5 and r=2.

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A: Given - A computer company has 5 vaccines in its executive trainee program. The company must select…

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Q: In a large family, 20 have parrots, 15 have rabbits, and 5 have both. One own a pet dog. How many…

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A: Combination of n objects taken r at a time = n!(n-r)!r! where 0≤r≤n.

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A: The group contains 9 women and 6 men. A 4-person committee is selected. a) The number of ways to…

Q: Convener and a Secretary are to be chosen from group of people consisting of 50 people. Explain how…

A: i) We can select A as Convener in only 1 way. We can select Secretary from (50-1)=49 people in 49…