Math  /  Discrete

QuestionNovember 22, 2024 at 10:28 AM A sports store has 7 female clerks and 9 male clerks. Each day Monday - Saturday next week the owner will select one out of all of these clerks (so repetitions are possible) to be the greeter. In how many overall outcomes would both women and men be selected?

Studdy Solution
Use complementary counting to find the number of outcomes where both women and men are selected.
The number of outcomes where both women and men are selected is the total number of outcomes minus the outcomes where only women or only men are selected:
1667696 16^6 - 7^6 - 9^6
The number of outcomes where both women and men are selected is:
1667696 \boxed{16^6 - 7^6 - 9^6}

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