Question

Emily is packing her bags for her vacation. She has 6 unique Fabergé eggs, but only 3 fit in her bag. How many different groups of 3 Fabergé eggs can she take?

Answer 1

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

$nC_r=\frac{n!}{r!(n-r)!}$

n=6, r=3

Using this formula

$6C_3=\frac{6!}{3!(6-3)!}=\frac{6\times 5\times 4\times 3!}{3!3\times 2\times 1}$

$6C_3=20$

Hence, Emily can takes 20  different groups of 3 Faberge eggs .