Question

There are 6 credit card and 4 debit cards.in how many ways 5 credit cards and 3 debit cards be selected?solution

Answer 1

Find the number of ways to choose 5 out of the 6 credit cards:

There are 6 credits cards

Ways to choose 5 credit cards = 6C5

Ways to choose 5 credit cards= 6! / 5!

Ways to choose 5 credit cards= (6 x 5 x 4 x 3 x 2 x 1) / (5 x 4 x 3 x 2 x 1)

Ways to choose 5 credit cards = 6

Find the number of ways to choose 3 out of the 4 debit cards:

There are 4 debit cards

Ways to choose 3 debit cards = 4C3

Ways to choose 3 debit cards = 4! / 3!

Ways to choose 3 debit cards = (4 x 3 x 2 x 1) / (3 x 2 x 1)

Ways to choose 3 debit cards = 4

Find the total number of ways to choose 5 credit cards and 3 debit cards:

Number of ways = 6 x 4 = 24

Answer: There are 24 ways