Read and analyze the following problems carefully. Show your complete solutions. 1. How many ways can a coach choose 6 players for the first set of a volleyball match if there are 15 members in the team? 2. A publishing company has 9 male and 8 female qualified applicants. If there are 6 available positions, in how many ways can the company select from the qualified applicant if at least 4 of them should be males?
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First, we need to determine the number of ways the company can select 6 applicants from the total pool of qualified applicants, regardless of gender. This can be calculated using the combination formula: C(n, r) = n! / (r!(n-r)!) where n is the total number of Show more…
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