Answer:
70
Step-by-step explanation:
GIVEN: Tiffany is packing her bags for her vacation. She has [tex]8[/tex] unique toy animals, but only [tex]4[/tex] fit in her bag.
TO FIND: How many different groups of [tex]4[/tex] toy animals can she take.
SOLUTION:
Total unique toy animal Tiffany has [tex]=8[/tex]
Total animal that fit in her bag [tex]=4[/tex]
Now,
Tiffany has to select [tex]4[/tex] toy animals from [tex]8[/tex] animals.
Number of ways of selecting 4 toy animals [tex]=^8C_4[/tex]
[tex]=\frac{8!}{4!4!}[/tex]
[tex]=70[/tex]
Hence Tiffany has 70 different ways to select group of 4 unique toys.
