Question

Selena is picking out material for her new quilt. At the fabric store, there are 18...

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?

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Answer #1

3 solids can be selected from 18 solids in 18c3 ways

Similarly, 4 floral prints from 15 in 15c4 ways

And 4 striped fabrics from 11 in 11c4 ways

By product rule multiplying all we get total number of ways

i.e total ways = (18c3)*(15c4)*(11c4)

=367,567,200 ways.

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