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Six people (two of them are John and Marry) are lined in a row. How many arrangements are there if John and Marry are at both en
Six people (two of them are John and Marry) are lined in a row. How many arrangements are there if John and Marry are at both en
admin
2021-10-21
85
问题
Six people (two of them are John and Marry) are lined in a row. How many arrangements are there if John and Marry are at both ends of the row?
选项
A、720
B、30
C、48
D、2
E、24
答案
C
解析
先考虑有限制的元素,J和M在两头,那么恰好是在两个位置上的全排列,为P
2
2
=2种,剩下的4个人在中间4个位置上全排列,为P
4
4
=24种,所以J和M在两头的排列一共有24×2=48种。
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