Question

Tiffany is packing her bags for her vacation. She has 8 unique toy animals, but only 4 fit in her bag. How many different groups of 4 toy animals can she take?

Answer 1

Answer:

70

Step-by-step explanation:

GIVEN: Tiffany is packing her bags for her vacation. She has $8$ unique toy animals, but only $4$ fit in her bag.

TO FIND: How many different groups of $4$ toy animals can she take.

SOLUTION:

Total unique toy animal Tiffany has $=8$

Total animal that fit in her bag $=4$

Now,

Tiffany has to select $4$ toy animals from $8$ animals.

Number of ways of selecting 4 toy animals $=^8C_4$

                                                                       $=\frac{8!}{4!4!}$

                                                                       $=70$

Hence Tiffany has 70 different ways to select group of 4 unique toys.