6. Let $Q_1$ be the number of onto (i.e., surjective) functions from a set of 15 elements to a set of 11 elements. Let $Q = \ln(3 + |Q_1|)$. Then $T = 5 \sin^2(100Q)$ satisfies: (A) $0 \le T < 1$. (B) $1 \le T < 2$. (C) $2 \le T < 3$. (D) $3 < T < 4$. (E) $4 \le T \le 5$.
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To find the number of onto functions, we can use the principle of inclusion-exclusion. The total number of functions from a set of 15 elements to a set of 11 elements is 11^15. However, this includes functions that are not onto. To find the number of functions Show more…
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