Question

Selena is picking out material for her new quilt. At the fabric store, there are 18 solids, 11 striped prints, and 15 floral prints that she can choose from. If she needs 3 solids, 4 floral prints, and 4 striped fabrics for her quilt, how many different ways can she choose the materials?

Answer 1

367567200 ways of choosing fabrics

Explanation:

Ways of selecting 3 solids from 18 solids = 18C3

Ways of selecting 4 stripped fabrics from 11 stripped = 11C4

Ways of selecting 4 florals prints from 15 floral print = 15C4

So therefore:

Different ways of choosing materials for her quit = 18C3 x 15C4 x 11C4

So:

[ 18!/3!(18 - 3)! ] * [ 15!/4!(15- 4)! ] * [ 11!/ 4!(11 - 4)! ]

= 816 * 1365 * 330

= 367567200