College Algebra & Trigonometry, 2018a

318 CHAPTER 7. COMBINATORICS
EXERCISES 7.3
Find the value of the following expressions.
1) 10C 4 2) 8C 3 3) 10C 6 4) 8C 5
5) 15C 12 6) 18C 2 7) nC 4 8) 9C r
9) How many three-topping pizzas can be made if there are twelve toppings
to choose from?
10) How many bridge hands of 13 cards are possible from a deck of 52 cards?
11) How many poker hands of 5 cards are possible from a deck of 52 cards?
12) How many different bridge hands of 13 cards are possible if none of the
cards is higher than 10 (i.e. no face cards)?
13) How many different poker hands of 5 cards are possible if none of the cards
is higher than 8?
14) If a person has 10 different t-shirts, how many ways are there to choose 4
to take on a trip?
15) If a band has practiced 15 songs, how many ways are there for them to
select 4 songs to play at a battle of the bands? How many different performances
of four songs are possible?