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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
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
admin
2021-10-21
53
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P
3
2
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P
3
3
种。因此一共不同的五位数:P
3
2
×P
3
3
=6×6=36种。
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本试题收录于:
GMAT QUANTITATIVE题库GMAT分类
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