There are 10 persons named A, B, dots, J. We | vedclass

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

Question

(D) Total persons available are $10$. We need to select $5$ persons.Given that $A$ is always included and $G, H$ are excluded.Remaining persons to cho

Vedclass · Accepted Answer

$^7C_3 	imes 5!$

Vedclass · Answer

(D) Total persons available are $10$. We need to select $5$ persons.Given that $A$ is always included and $G, H$ are excluded.Remaining persons to choose from are $10 - 3 = 7$ (excluding $A, G, H$).We need to select $4$ more persons from the remaining $7$ to complete the group of $5$. This can be done in $^7C_4$ ways.Since $^7C_4 = ^7C_3$,the number of ways to select the group is $^7C_3$.These $5$ persons can be arranged in a row in $5!$ ways.Therefore,the total number of arrangements is $^7C_3 	imes 5!$.

There are $10$ persons named $A, B, \dots, J$. We have space to keep only $5$ of them. If $A$ must be included,and $G$ and $H$ must not be included in the group of $5$,in how many ways can we arrange the group in a row?

Similar Questions

The value of $r$ for which $^{20}C_r ^{20}C_0 + ^{20}C_{r-1} ^{20}C_1 + ^{20}C_{r-2} ^{20}C_2 + ... + ^{20}C_0 ^{20}C_r$ is maximum is

If $\binom{a^2+a}{3} = \binom{a^2+a}{9}$,then $a = \dots$

If a committee of $10$ members is to be formed from $8$ men and $6$ women,then the number of different possible committees in which the men are in majority is

In how many ways can a committee of $5$ members be formed from $6$ men and $4$ women such that the committee contains at least one woman?

In how many ways can one girl and one boy be selected from a group of $15$ boys and $8$ girls?

Vedclass Test Series

Exam Paper Generator

Online Exam Module