Does anyone know how to do this please?
Sandra wants to rearrange the 3 sweaters, two coats and our jackets that are in her closet. If she puts a sweater first and a jacket list, how many different ways can she arrange them?

a)4,354,560,
b)45,360
c)60,480
d)362,880

the correct answer is c)60,480 (but I don't know how to get it)

Question

Does anyone know how to do this please?
Sandra wants to rearrange the 3 sweaters, two coats and our jackets that are in her closet. If she puts a sweater first and a jacket list, how many different ways can she arrange them?

a)4,354,560,
b)45,360
c)60,480
d)362,880

the correct answer is c)60,480 (but I don't know how to get it)

tkhunny · Answer

3 Sweaters
2 Coats
4 Jackets

That's 9 slots.

Slot 1 is a sweater.  3 ways to do that.
Slot 9 is a jacket.  4 ways to do that.
The other seven slots are wide open.

(3)(7!)(4) = ??