Multiple choice

In a circus there are five different animals and eight different cages. According to law no two animals can be put in a cage together. In how many ways can the circus put these animals in the given cages?

  1. 5!

  2. 8!

  3. (5)8

  4. (8)5

  5. 6720
Reveal answer Fill a bubble to check yourself
E Correct answer
Explanation

If no two animals are to be put together, then the first animal can be put in 8 ways, the second in 7 ways, the third in 6 ways, the fourth in 5 ways and the fifth in 4 ways.
Hence, the total number of ways would be 8 X 7 X 6 X 5 X 4 = 6720.

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