Question

Lauri is picking out material for her new quilt. At the fabric store, there are 1919 solids, 99 striped prints, and 1212 floral prints that she can choose from. If she needs 33 solids, 33 floral prints, and 33 striped fabrics for her quilt, how many different ways can she choose the materials

Answer 1

1,79,07,120 ways

Explanation:

Ways in which 3 solids can be chosen from 19 solids = 19 c 3

33 striped prints can be chosen from 99 striped prints in 9 c 3 ways

33 floral prints can be chosen from 121 floral prints in 12 c 33 ways

So, total ways = (19 c 3) (9 c 3) (12 c 3)

(969) (84) (220)

1,79,07,120