Suppose 9 students are forming a study group, 4 of them are male and the rest arře female. In how many ways there exactly 3 females in the study group (no limits on the males)? (hint: this is a two-step question. First compute howm ways can 3 females be chosen, then compute the cases where the males are in the study group)

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
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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Suppose 9 students are forming a study group, 4 of them are male and the rest are female. In how many ways there are
exactly 3 females in the study group (no limits on the males)? (hint: this is a two-step question. First compute how many
ways can 3 females be chosen, then compute the cases where the males are in the study group)
Transcribed Image Text:Suppose 9 students are forming a study group, 4 of them are male and the rest are female. In how many ways there are exactly 3 females in the study group (no limits on the males)? (hint: this is a two-step question. First compute how many ways can 3 females be chosen, then compute the cases where the males are in the study group)
5 people are sitting together in a row. However, Jack and Rose refused to sit together. How many ways can you make the
arrangement? (hint: this is a two-step question. First compute the number of arrangements how 5 people can be arranged,
then compute how many ways Jack and Rose are (not) sit together)
Transcribed Image Text:5 people are sitting together in a row. However, Jack and Rose refused to sit together. How many ways can you make the arrangement? (hint: this is a two-step question. First compute the number of arrangements how 5 people can be arranged, then compute how many ways Jack and Rose are (not) sit together)
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