Question

There are 6 candidates for 3 posts. In how many ways can the posts be filled

Answer 1

Answer:

$^6C_{3} * 3!$ ways.

Step-by-step explanation:

We first select three candidates out of the 6 who would actually be given posts:

$^6C_{3}$ ways to do that.

To actually fill the posts, there are $3!$ ways.

So, $^6C_{3} * 3!$ is the total number of ways.

Answer 2

Answer:

20 ways

Step-by-step explanation:

Number of candidates = 6

Number of posts = 3

We are supposed to find In how many ways can the posts be filled

So, We will use combination :

Formula : $^nC_r=\frac{n!}{r!(n-r)!}$

No.of ways can the posts be filled  =$^6C_3$  

                                                          =$\frac{6!}{3!(6-3)!}$

                                                          =$20$

Hence there are 20 ways to fill the posts