Scelta multipla
Evaluate the expression.
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21. Combinatorics and Probability
Factorials
Scelta multipla
Evaluate the expression.
A
2!
B
63
C
72
D
98
Guida verificata passo dopo passo1
Identify the expression to evaluate: \( \frac{9!}{7!} \times \frac{7!}{2!} \).
Simplify the expression by canceling out the common terms in the numerator and the denominator. Notice that \( 7! \) appears in both the numerator and the denominator, so they cancel each other out.
After canceling, the expression simplifies to \( \frac{9 \times 8}{2!} \).
Calculate \( 2! \), which is \( 2 \times 1 = 2 \).
Divide the product of the remaining terms in the numerator by \( 2! \): \( \frac{9 \times 8}{2} \).
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