Answer:
20
Step-by-step explanation:
We are given that Emily is packaging her bags for her vacation.
She has unique Faberge eggs=6
But eggs fit in her bag=3
We have to find the number of different groups of 3 Faberge eggs can she take.
Combination formula
[tex]nC_r=\frac{n!}{r!(n-r)!}[/tex]
n=6, r=3
Using this formula
[tex]6C_3=\frac{6!}{3!(6-3)!}=\frac{6\times 5\times 4\times 3!}{3!3\times 2\times 1}[/tex]
[tex]6C_3=20[/tex]
Hence, Emily can takes 20 different groups of 3 Faberge eggs .
