12 samples of different pastries are on display as customers leave a bakery, they are told that they can choose any 5 samples.

babeeb0oL

babeeb0oL

Answered question

2021-09-06

12 samples of different pastries are on display as customers leave a bakery, they are told that they can choose any 5 samples. How many different selections can a customer make?

Answer & Explanation

Cristiano Sears

Cristiano Sears

Skilled2021-09-07Added 96 answers

12 samples of different pastries are on display as customers leave a bakery, they are told that they can choose any 5 samples. To find the number of different selections a customer make, we need to find the number of combinations of 12 objects taken 5 at a time. That is,

C512=12!(125)!5![Crn=n!(nr)!r!]

=12×11×10×9×8×7!7!5!

=12×11×10×9×85×4×3×2×1

=792

Hence customer can make 792 different selections.

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