2. Let S = {100, 101, 102,...,999} so that [S] = 900. (a) How many numbers in S have at least one digit that is a 3 or a 7? Examples: 300, 707, 736, 103, 997. (b) How many numbers in S have at least one digit that is a 3 and at least one digit that is a 7? Examples: 736 and 377, but not 300, 707, 103, 997.
2. Let S = {100, 101, 102,...,999} so that [S] = 900. (a) How many numbers in S have at least one digit that is a 3 or a 7? Examples: 300, 707, 736, 103, 997. (b) How many numbers in S have at least one digit that is a 3 and at least one digit that is a 7? Examples: 736 and 377, but not 300, 707, 103, 997.
Chapter9: Sequences, Probability And Counting Theory
Section9.5: Counting Principles
Problem 36SE: The number of 5-element subsets from a set containing n elements is equal to the number of 6-element...
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![2. Let S 100, 101, 102, ..., 999} so that |S] = 900.
(a) How many numbers in S have at least one digit that
is a 3 or a 7? Examples: 300, 707, 736, 103, 997.
(b) How many numbers in S have at least one digit that
is a 3 and at least one digit that is a 7? Examples:
736 and 377, but not 300, 707, 103, 997.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc28801d2-5244-43a8-94e3-88d6acce7d2a%2F8f44864b-95c3-4c80-8b1d-3bcd179e217b%2Fberrxqj_processed.png&w=3840&q=75)
Transcribed Image Text:2. Let S 100, 101, 102, ..., 999} so that |S] = 900.
(a) How many numbers in S have at least one digit that
is a 3 or a 7? Examples: 300, 707, 736, 103, 997.
(b) How many numbers in S have at least one digit that
is a 3 and at least one digit that is a 7? Examples:
736 and 377, but not 300, 707, 103, 997.
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