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(a) The number of subsets of an 100-set which are larger (strictly larger cardinal) than their complements. (b) The number of ways to paint 49 chairs using the colors red, blue, and green such that both the number of red chairs and the number of blue chairs is odd. (c) The number of ways to divide 7 children into any number of playgroups such that Adam and Brenda be in different playgroups. (d) The number of positive integers not larger than 30000 that are divisible by at least one of 2, 3, and 5.

(a) The number of subsets of an 100-set which are larger (strictly larger cardinal) than their complements. (b) The number of ways to paint 49 chairs using the colors red, blue, and green such that both the number of red chairs and the number of blue chairs is odd. (c) The number of ways to divide 7 children into any number of playgroups such that Adam and Brenda be in different playgroups. (d) The number of positive integers not larger than 30000 that are divisible by at least one of 2, 3, and 5.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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(a) The number of subsets of an 100-set which are larger (strictly larger cardinal) than their complements. (b) The number of ways to paint 49 chairs using the colors red, blue, and green such that both the number of red chairs and the number of blue chairs is odd. (c) The number of ways to divide 7 children into any number of playgroups such that Adam and Brenda be in different playgroups. (d) The number of positive integers not larger than 30000 that are divisible by at least one of 2, 3, and 5.
Transcribed Image Text:(a) The number of subsets of an 100-set which are larger (strictly larger cardinal) than their complements. (b) The number of ways to paint 49 chairs using the colors red, blue, and green such that both the number of red chairs and the number of blue chairs is odd. (c) The number of ways to divide 7 children into any number of playgroups such that Adam and Brenda be in different playgroups. (d) The number of positive integers not larger than 30000 that are divisible by at least one of 2, 3, and 5.
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