Answer:
56 groups of 5 Fabergé eggs can be taken.
Step-by-step 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:
[tex]8C_{5}=\frac{8!}{5!(8-5)!}[/tex]
[tex]8C_{5}=\frac{8!}{5!3!}[/tex]
[tex]8C_{5}=\frac{8{\times}7{\times}6{\times}5!}{5!{\times}3{\times}2}[/tex]
[tex]8C_{5}=56[/tex]
Thus, 56 groups of 5 Fabergé eggs can be taken.
