Out of 3 men,2 women,and 4 children,if 4 peop | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(C) Total number of people $= 3 + 2 + 4 = 9$. Number of ways to select $4$ people out of $9$ is $^9C_4 = \frac{9 	imes 8 	imes 7 	imes 6}{4 	imes

Vedclass · Accepted Answer

$10/21$

Vedclass · Answer

(C) Total number of people $= 3 + 2 + 4 = 9$. Number of ways to select $4$ people out of $9$ is $^9C_4 = \frac{9 	imes 8 	imes 7 	imes 6}{4 	imes 3 	imes 2 	imes 1} = 126$. Number of ways to select exactly $2$ children out of $4$ children and $2$ non-children out of the remaining $5$ people ($3$ men $+ 2$ women) is $^4C_2 	imes ^5C_2$. $^4C_2 = \frac{4 	imes 3}{2 	imes 1} = 6$. $^5C_2 = \frac{5 	imes 4}{2 	imes 1} = 10$. Number of favorable outcomes $= 6 	imes 10 = 60$. Required probability $= \frac{60}{126} = \frac{10}{21}$.

Out of $3$ men,$2$ women,and $4$ children,if $4$ people are selected at random,what is the probability that exactly $2$ children are selected?

Similar Questions

$A$ bag contains tickets numbered from $1$ to $20$. Two tickets are drawn. The probability that both the numbers are prime,is

All the spades are taken out from a pack of cards. From these cards,cards are drawn one by one without replacement until the ace of spades comes. The probability that the ace of spades comes in the $4^{th}$ draw is

There are $4$ hotels in a town. If $3$ men check into the hotels in a day,then the probability that each checks into a different hotel is

$A$ four-member committee is to be formed from a group containing $9$ men and $5$ women. If a committee is formed randomly,then the probability that it contains at least one woman is

If $4$ boys and $3$ girls are standing in a row for an interview,what is the probability that they stand in alternating positions?

Vedclass Test Series

Exam Paper Generator

Online Exam Module