Question

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?

Answer 1

56

Explanation:

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Answer 2

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.