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Problems

**Problem : **
Calculate the following:

a) *P*(12, 7)

b) *P*(3, 2)

c) *P*(7, 4)

d) *P*(8, 8)

a) 3991680

b) 6

c) 840

d) 40320

**Problem : **
Calculate the following:

a) *C*(12, 7)

b) *C*(3, 2)

c) *C*(7, 4)

d) *C*(8, 8)

a) 792

b) 3

c) 35

d) 1

**Problem : **
Andrew owns 11 shirts. In how many different ways can he dress in 7 days?

*P*(11, 7) = 1663200 different ways.

**Problem : **
Alexandra can bake 6 different types of cookies. She has to bring 4 different
kinds to a bake sale. How many combinations can she bring?

*C*(6, 4) = 15 different ways.

**Problem : ***C*(13, 5) = *C*(13, *x*). If *x*≠5, what is *x*?

*x* = 8.