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

70

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`

`=(8!)/(4!4!)`

`=70`

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