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 one.
A) 2880	B) 3000	C) 3100	D) 3200	E) 3400
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!=5!×4!= 2880 ways   Option is 2880
<result>A</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?