Page 112 - Senior Math

Evaluate each of the following. 1) 5!
3) 7!
2) 6! 4) 0!
5) 10!
9! 18!
7) 𝑛! (𝑛−1)!
9) 6P3 10)10P3
11) 4P4 12)8P10
13) In how many ways can a club with 20 members choose a president and a vice president?
14) In how many ways can a club with 13 members choose four different officers?
15) Each of the 200 students attending a school dance has a ticket for a door prize. If three tickets are selected, how many ways are there to award the prizes, given that the prizes are different?
16) How many different ways are there to deal a hand of 5 cards from a standard deck of 52 cards if the order in which the cards are dealt is important?
17) A certain chain of ice cream stores sells 28 different flavors, and a customer can over a single, double, or triple score cone. Suppose on a multiple-scoop cone that the order of the flavors is important and the flavors cannot be repeated.
a) How many single-scoop cones are possible?
b) How many double-scoop cones are possible?
c) How many triple-scoop cones are possible?
d) How many cones are possible?
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6) 20! 8) 5P2