Question

perform the indicated calculation.
38c2
38c2 = (type a whole number.)

Explanation:

Step1: Recall combination formula

The combination formula is \(_{n}C_{r}=\frac{n!}{r!(n - r)!}\), where \(n = 38\) and \(r=2\).

Step2: Substitute values into formula

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Step3: Simplify the expression

Cancel out \(36!\) in the numerator and denominator: \(\frac{38\times37}{2\times1}=\frac{1406}{2}=703\)

Answer:

\(703\)