Question

Discrete Mathematics with Applications by Susanna S Epps, 4th Edition

Exercise Set 9.6 Problem 18

A large pile of coins consists of pennies, nickels, dimes, and quarters.

a. How many different collections of 30 coins can be chosen if there are at least 30 of each kind of coin?

b. If the pile contains only 15 quarters but at least 30 of each other kind of coin, how many collections of 30 coins can be chosen?

c. If the pile contains only 20 dimes but at least 30 of each other kind of coin, how many collections of 30 coins can be chosen?

d. If the pile only contains 15 quarters and only 20 dimes, but at least 30 of each other kind of coin, how many collections of 30 coins can be chosen?

Answer 1

t hee ae atleast eac kind d (omt 3 556 ít the pile convaini only 15 guasteu but, atkan 30orch dd-@u. 301 4- Li- 3 545816

Pie contains die but adlealTeac kin cn Possible aus > 芍--1 C. 5456-11 3685 P2 s 20 and Ps 15 乌ナ5-1 C. 23 3 286 plese Rat A