Chapter 3 Review Warm-Up
1. Suppose you bought 4 books and gave one to each of 4 friends. In how many ways can the
books be given if they are
a. All different?
b. If they are all the same?
2. Each of the 10 finalists in the state spelling bee contest receives a prize. The prizes are six $50
bonds, three $100 bonds, and one $250 bond. In how many ways can these prizes be given?
3. Of the 12 players on a school’s basketball team, the coach must choose 5 players to be in the
starting lineup. In how many ways can this be done if the players positions are
a. Considered?
b. Not considered?
4. In the English language, antidisestablishmentarianism is one of the longest words. If a
computer could print out every permutation of this word at the rate of 1 word per second, how
long (in years) with it take for all of the permutations to be printed?
5. 5 cards are dealt from a fair deck of cards. In how many ways can a hand of
a. All number cards (exclude aces and face cards on this one)?
b. Exactly 3 of a kind?
c. All red cards or all face cards?
1)
2)
3)
4)
5)
a)24 b)1
840
a)95040 b)792
9.71 X 10^14 Years!
A) 376,992 B) 58,656 or 54,912 (if no pairs) C) 66566