Question

Sara was choosing songs for her "Birthday Dance Party" shuffle tonight. She wanted to choose: 3 of her 8 Beyonce songs, 4 of her 12 Justin Timberlake songs, 2 of her 5 Drake songs, and finish it off with either Micheal Jackson or the Beatle's version of Happy Birthday. How many different ways can she make her Birthday song mix?

Answer 1

554400

Explanation:

To answer this question, we use combination as we are just interested in selection rather Than arrangement.

Beyonce songs ; 3 from 8 = 8C3

Justin ; 4 from 12 = 12C4

Drake ; 2 from 5 = 5C2

Version of happy birthday = 1 from 2 = 2C1

Recall :

nCr = n! ÷ (n-r)!r!

However, the answers can also be obtained using a calculator :

8C3 * 12C4 * 5C2 * 2C1 = 554400 different mix