1. Solve the following:

a.

(37!)/(33!) =

b.

₁₀P₇ =

c.

₈C₅ = 2. A pollster randomly selected 3 of 11 available people.

How many different groups of three are possible?

Number of possible groups _____________

3. An overnight express company must include three cities on its route. How many different routes are possible, assuming that in which order the cities are included in the routing is important?

Number of different routes ______________

4. A company is creating five new divisions and seven managers are eligible to be appointed head of a division.

How many different ways could the five new heads be appointed?

Number of different ways

5. How many ways are there of drawing eleven cards from a deck of 52 cards? Note - that the cards are not replaced. Order does not matter.