Question

Da Shari wants to rearrange the four sweaters, two coats, and five jackets that are in her closet. If she puts a sweater first and a jacket last, how many different ways can she arrange them?

Answer 1

9! = 3,62,880 ways

Explanation:

Number of sweaters= 4

No. of coats = 2

No. of jackets = 5

Total = 11

If she puts a sweater first and a jacket last, these two things have fixed places.

Now, number of sweaters = 4 (Since 1 sweater is placed in the first place)

No. of coats = 2

No. of jackets = 4 (Since 1 jacket is placed in the last place)

Total = 9

So, no. of ways in which these 9 things can be arranged = 9!

= 3,62,880 ways

Hence, these things can be arranged in 3,62,880 ways.