What is the total number of different 5-digit integers that contain all of the digits 2, 5, 4, 3, 7 and in which both the units

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问题 What is the total number of different 5-digit integers that contain all of the digits 2, 5, 4, 3, 7 and in which both the units digit and thousands digit are odd integers?

选项 A、10
B、8
C、36
D、24
E、12

答案C

解析这是一道排列题。首先考虑有限制的位置：个位和千位，这两位数字都是奇数，那么这两位数字必然从三个奇数3，5，7中选择两个来进行排列，应该是P₃²种；剩下的三个数字排在其他三个数位上是一个全排列，应该是P₃³种。因此一共不同的五位数：P₃²×P₃³=6×6=36种。

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What is the total number of different 5-digit integers that contain all of the digits 2, 5, 4, 3, 7 and in which both the units

GMAT QUANTITATIVE

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