Question

6 candidates for 3 posts. in how many ways the posts can be filled​

Answer 1

Step-by-step explanation:

6

C

3

∗3! ways.

Step-by-step explanation:

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

^6C_{3}

6

C

3

ways to do that.

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

So, ^6C_{3} * 3!

6

C

3

∗3! is the total number of ways.

Answer 2

Answer:

A

41

Now a person can vote 1 or 4 or 3 times. If he vote 4 times then no. of ways =

6

C

1

=6

If he votes for 2 times; then no. of ways =

6

C

2

=15

If he votes for 3 times, then no. of ways =

6

C

3

=20

Total ways =6+15+20=41

Step-by-step explanation:

A

41

Now a person can vote 1 or 4 or 3 times. If he vote 4 times then no. of ways =

6

C

1

=6

If he votes for 2 times; then no. of ways =

6

C

2

=15

If he votes for 3 times, then no. of ways =

6

C

3

=20

Total ways =6+15+20=41