1. Your garage door has a keypad with the numbers 0-9. You need to pick a 5-digit lock code. How many codes are possible if a. You don’t want to repeat any numbers? b. You do want to repeat numbers?

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.6: Counting Principles
Problem 8ECP: In how many different ways can two letters be chosen from the letters A, B, C, D, E, F, and G? (The...
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1. Your garage door has a keypad with the numbers 0-9. You need to pick a 5-digit lock code. How many codes are possible if a. You don’t want to repeat any numbers? b. You do want to repeat numbers? 2. At school, the faculty senate consists of 10 women and 8 men. How many different committees can be chosen that consist of 3 women and 3 men? a. How many ways can the 3 women be chosen? b. How many ways can the 3 men be chosen? c. Find the number of the different committees that can be formed.
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