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In how many ways can an animal trainer arrange 5 lions and 4 tigers in a row so that no two lions are together?

2800
2880
2600
3980

Correct Answer: 2880

Explanation:

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! ways = 2880 ways.

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