4. A camera shop stocks eight different types of batteries, one of which is type A7b. Assume there are at least 30 batteries of each type. a. How many ways can a total inventory of 30 batteries be distributed among the eight different types? b. How many ways can a total inventory of 30 batteries be distributed among the eight different types if the inven- tory must include at least four A76 batteries? c. How many ways can a total inventory of 30 batteries be distributed among the eight different types if the inven- tory includes at most three A7b batteries?

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter9: Sequences, Probability And Counting Theory
Section: Chapter Questions
Problem 36RE: In a group of 5 freshman, 10 sophomores, 3 juniors, and 2 seniors, how many ways can a president,...
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4. A camera shop stocks eight different types of batteries, one
of which is type A7b. Assume there are at least 30 batteries
of each type.
a. How many ways can a total inventory of 30 batteries be
distributed among the eight different types?
b. How many ways can a total inventory of 30 batteries be
distributed among the eight different types if the inven-
tory must include at least four A76 batteries?
Transcribed Image Text:4. A camera shop stocks eight different types of batteries, one of which is type A7b. Assume there are at least 30 batteries of each type. a. How many ways can a total inventory of 30 batteries be distributed among the eight different types? b. How many ways can a total inventory of 30 batteries be distributed among the eight different types if the inven- tory must include at least four A76 batteries?
c. How many ways can a total inventory of 30 batteries be
distributed among the eight different types if the inven-
tory includes at most three A7b batteries?
Transcribed Image Text:c. How many ways can a total inventory of 30 batteries be distributed among the eight different types if the inven- tory includes at most three A7b batteries?
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