To fill 12 vacancies,there are 25 candidates, | vedclass

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

Question

(A) The selection process is divided into two parts:$1$. Selecting $3$ candidates for the reserved vacancies from the $5$ scheduled caste candidates.

Vedclass · Accepted Answer

$^5C_3 	imes ^{22}C_9$

Vedclass · Answer

(A) The selection process is divided into two parts:$1$. Selecting $3$ candidates for the reserved vacancies from the $5$ scheduled caste candidates. This can be done in $^5C_3$ ways.$2$. After filling the reserved seats,we have $25 - 3 = 22$ candidates remaining (including the $2$ unselected scheduled caste candidates and $20$ others) and $12 - 3 = 9$ vacancies remaining. These $9$ vacancies are open to all remaining $22$ candidates. This can be done in $^{22}C_9$ ways.Therefore,the total number of ways to make the selection is $^5C_3 	imes ^{22}C_9$.

To fill $12$ vacancies,there are $25$ candidates,of which $5$ are from the scheduled caste. If $3$ of the vacancies are reserved for scheduled caste candidates while the rest are open to all,then the number of ways in which the selection can be made is:

Similar Questions

If $n$ objects are arranged in a row,then the number of ways of selecting three of these objects such that no two of them are next to each other is:

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

The value of $\frac{{}^{10}C_{r}}{{}^{11}C_{r}}$,when both the numerator and denominator are at their greatest values,is

If $^nC_{15} = ^nC_8$,then what is the value of $^nC_{21}$?

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