In how many ways can an animal trainer arrange 5 lions and 4 tigers in a row so that no two lions are together?
They have to be arranged in the following way:
| L | T | L | T | L | T | L | T | L |
The 5 lions should be arranged in the 5 places marked ‘L’.
This can be done in 5! ways.
The 4 tigers should be in the 4 places marked ‘T’.
This can be done in 4! ways.
Therefore, the lions and the tigers can be arranged in 5!*4!= 2880 ways
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