There is a group of 10 people. We will seperate this group into 5-person groups but we don't want Tom AND Jerry to be in the same group. How many ways are there?

My work

without limitation:

C(9,1)C(7,1)C(5,1)C(4,1)

If we exclude Tom AND Jerry,there are 8 persons.

C(8,4)C(2,1) is my way but book says 240