Question

To find number of ways three card can be selected from 5 cards

Answer 1

Given:

Cards=5

To find:

The number of ways of selecting 3 cards from the 5 cards

Solution:

The number of ways of selecting 3 cards from the 5 cards is 10.

We can find the ways by following the given steps-

We know that the number can be obtained by using the concept of combination.

Using combination, nCr=n!/r!(n-r)! , where n is the total number of items and r is the number of items to be selected.

We need to choose 3 cards out of the given 5.

So, the total number of cards, n=5

The number of cards to be selected, r=3

On putting the values, we get

The number of ways of selecting 3 cards from the 5 cards=5C3

=5!/3!(5-3)!

=5!/3!×2!

=5×4×3!/3!×2!

=5×4/2×1

=20/2

=10

So, there are 10 ways.

Therefore, the number of ways of selecting 3 cards from the 5 cards is 10.