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

The number of $4$-letter words,with or without meaning,each consisting of $2$ vowels and $2$ consonants,which can be formed from the letters of the word $UNIVERSE$ without repetition is $.........$.

$A$ bag contains $3$ coins of one rupee,$4$ coins of fifty paise,and $5$ coins of ten paise. If at least one coin is selected from the bag,what is the total number of ways to make the selection?

The least value of natural number $n$ satisfying $C(n, 5) + C(n, 6) > C(n + 1, 5)$ is

If $^{43}C_{r-6} = ^{43}C_{3r+1}$,then the value of $r$ is

$n$ balls each of weight $w$. When weighed in pairs,the sum of the weights of all possible pairs is $120$. When they are weighed in triplets,the sum of the weights of all possible triplets is $480$. Then $n$ is:

Vedclass Test Series

Exam Paper Generator

Online Exam Module