A linguistic club of a certain Institute cons | vedclass

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

Question

(D) Case $I$: No boy is included. Selecting $4$ girls from $6$ girls is ${}^6C_4 = 15$ ways. Selecting $1$ captain from the $4$ selected members is ${

Vedclass · Accepted Answer

$380$

Vedclass · Answer

(D) Case $I$: No boy is included. Selecting $4$ girls from $6$ girls is ${}^6C_4 = 15$ ways. Selecting $1$ captain from the $4$ selected members is ${}^4C_1 = 4$ ways. Total number of ways for Case $I = 15 	imes 4 = 60$.Case $II$: Exactly one boy is included. Selecting $3$ girls from $6$ girls and $1$ boy from $4$ boys is ${}^6C_3 	imes {}^4C_1 = 20 	imes 4 = 80$ ways. Selecting $1$ captain from the $4$ selected members is ${}^4C_1 = 4$ ways. Total number of ways for Case $II = 80 	imes 4 = 320$.Total number of ways $= 60 + 320 = 380$.

Similar Questions

$A$ group consists of $4$ girls and $7$ boys. In how many ways can a team of $5$ members be selected if the team has at least $3$ girls?

If $^nC_3 + ^nC_4 > ^{n+1}C_3$,then

$A$ set contains $(2n + 1)$ elements. The number of subsets of the set which contain at most $n$ elements is:

The number of ways a committee of $8$ members can be formed from a group of $10$ men and $8$ women such that the committee contains at most $5$ men and at least $5$ women is:

The number of ways in which any four letters can be selected from the word '$CORGOO$' is

Vedclass Test Series

Exam Paper Generator

Online Exam Module