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

20

Explanation:

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Answer 2

20

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=(n!)/(r!(n-r)!)`

n=6, r=3

Using this formula

`6C_3=(6!)/(3!(6-3)!)=(6* 5* 4* 3!)/(3!3* 2* 1)`

`6C_3=20`

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