Vanessa is packing her bags for her vacation. She has 6 unique books, but only 3 fit in her bag. How many different groups of 3 books can she take?
Mathematics · Middle School · Tue Nov 03 2020
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Answered on
Given :
Vanessa has 6 unique books but only 3 can fit in
Formula:
For selecting “r” items from “n” items
nCr = n!/r!(n-r)!
n = 6 and r = 3
6C3 = 6!/3!(6-3)!
= 6 × 5× 4 × 3!/3×2 × 3!
= 5 × 4
= 20
Hence, 20 different group of 3 books she can take .