In how many ways can an animal trainer arrange 5 lions and 4 tigers in a row so that no two lions are together?  Choose the correct choice
A) 1880 B) 2400 C) 2880 D) 3424 E) None
Solution   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   Answer 2880
<result>C</result>
In how many ways can an animal trainer arrange 5 lions and 4 tigers in a row so that no two lions are together?