In how many ways,a committee of 3 members can | vedclass

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

Question

(C) To form a committee of $3$ members consisting of $2$ men and $1$ woman from $5$ men and $4$ women:Step $1$: Select $2$ men from $5$ men. This can

Vedclass · Accepted Answer

$40$

Vedclass · Answer

(C) To form a committee of $3$ members consisting of $2$ men and $1$ woman from $5$ men and $4$ women:Step $1$: Select $2$ men from $5$ men. This can be done in ${ }^{5} C_{2}$ ways.${ }^{5} C_{2} = \frac{5 	imes 4}{2 	imes 1} = 10$ ways.Step $2$: Select $1$ woman from $4$ women. This can be done in ${ }^{4} C_{1}$ ways.${ }^{4} C_{1} = 4$ ways.Step $3$: The total number of ways to form the committee is the product of the number of ways to select the men and the women.Total ways $= 10 	imes 4 = 40$ ways.

In how many ways,a committee of $3$ members can be selected from $5$ men and $4$ women,consisting of $2$ men and $1$ woman?

Similar Questions

The solution set of $^{10}C_{x-1} > 2 \cdot ^{10}C_x$ is

If the permutations of $A, B, C, D, E$ taken all together are written down in alphabetical order as in a dictionary and numbered,then the rank of the permutation $DEBAC$ is

$A$ student is to answer $10$ out of $13$ questions in an examination such that he must choose at least $4$ from the first $5$ questions. The number of choices available to him is

If in a regular polygon the number of diagonals is $54$,then the number of sides of this polygon is

If $P(56, r+6) : P(54, r+3) = 30800 : 1$,find $r$.

Vedclass Test Series

Exam Paper Generator

Online Exam Module