What is the total number of different 5-digit numbers that contain all of the di

游客2024-01-12 69

问题 What is the total number of different 5-digit numbers that contain all of the digits 2,3, 4, 7 and 9 and in which none of the odd digits occur next to each other?

选项 A、12
B、10
C、8
D、6
E、1

答案 A

解析含有2，3，4，7和9这5个不同数字，且奇数不相邻的5位数(5-digit numbers)的总数是多少?
解：本题的正确答案是(A)。这5个数中有三个奇数，不相邻时它们应分别在个位，百位和万位，剩下2，4在十位和千位，由题意可得：

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