题目

From a committee of 25 legislators, n members formed a task force. Each member of the task force sent a report to each committee member who was not on the task force. If a letter was sent in response to each report, which of the following represents the combined number of reports and letters sent?

选项

A.

n(25−n)

B.

n(26−n)

C.

(n+1)(25−n)

D.

n2(25−n)2

E.

2n(25−n)

解析

总人数25,工作组 $n$ 人,非工作组为 $(25-n)$ 人。 每人发1份报告,报告总数 = $n \times (25-n)$。 每1份报告对应1封回信,回信数量也 = $n \times (25-n)$。 报告+回信 = $n(25-n) + n(25-n) = \mathbf{2n(25-n)}$。
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