Question

perform the indicated calculation.
51p2

51p2 = (type a whole number.)

Explanation:

Step1: Recall the permutation formula

The permutation formula is \(_{n}P_{r}=\frac{n!}{(n - r)!}\). Here \(n = 51\) and \(r=2\).

Step2: Substitute the values into the formula

$$
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Since \(n!=n\times(n - 1)\times\cdots\times(n-r+1)\times(n - r)!\), then \(\frac{51!}{49!}=51\times50\times49! \div49!\)

Step3: Simplify the expression

Cancel out the \(49!\) terms. So \(_{51}P_{2}=51\times50 = 2550\)

Answer:

\(2550\)