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Which of the following options have the same value as $\frac{3}{4}$ of $\frac{8}{9}$ ? Choose $2$ answers: Choose $2$ answers:

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Permutation and combination notation

Full solution

Q. Which of the following options have the same value as

\frac{3}{4}

of

\frac{8}{9}

? Choose

2

answers: Choose

2

answers:

Identify Permutation Formula: Identify the permutation formula for $_4P_2$ and substitute $4$ for $n$ and $2$ for $r$ . $_4P_2 = \frac{4!}{(4 - 2)!}
Calculate Factorials: Calculate the factorial of $4$ and $2$ . $\newline$ $4! = 4 \times 3 \times 2 \times 1$ $\newline$ $2! = 2 \times 1$
Divide Factorials: Divide the factorials to find the value of $_4P_2$ . $_4P_2 = \frac{4 \times 3 \times 2 \times 1}{2 \times 1} = \frac{24}{2} = 12$

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