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Ashley is packing her bags for her vacation. She has 8 unique Fabergé eggs, but only 5 fit in her bag. How many different groups of 5 Fabergé eggs can she take?

User Jaguir
by
7.9k points

2 Answers

2 votes

Answer:

56

Explanation:

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User Troncoso
by
7.6k points
4 votes

Answer:

56 groups of 5 Fabergé eggs can be taken.

Explanation:

It is given that Ashley is packing her bags for her vacation. She has 8 unique Fabergé eggs, but only 5 fit in her bag. In order to find how many different groups of 5 Faberge' eggs can she take, we apply the combination formula:


8C_(5)=(8!)/(5!(8-5)!)


8C_(5)=(8!)/(5!3!)


8C_(5)=\frac{8{*}7{*}6{*}5!}{5!{*}3{*}2}


8C_(5)=56

Thus, 56 groups of 5 Fabergé eggs can be taken.

User Satoru Kikuchi
by
8.3k points
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