单选题How many different four-digit integers can be formed using the digits 3, 4, 5, 6, 7, 8, 9 if the tens digit is 5 and no digit is repeated within an integer?A16B45C63D120E840
单选题
How many different four-digit integers can be formed using the digits 3, 4, 5, 6, 7, 8, 9 if the tens digit is 5 and no digit is repeated within an integer?
A
16
B
45
C
63
D
120
E
840
参考解析
解析：
首先需要想一下每个位置有几种选择，然后将这些选择相城可得出结果。因为十位数上数字已经确认定，所以只能有一种选择，又因为一个数中3, 4, 5, 6, 7, 8, 9不能重复，个位上有6中选择，那么百位上和千位上则分别有5种和4种选择，故总的可能为4×5×1×6=120种。
首先需要想一下每个位置有几种选择，然后将这些选择相城可得出结果。因为十位数上数字已经确认定，所以只能有一种选择，又因为一个数中3, 4, 5, 6, 7, 8, 9不能重复，个位上有6中选择，那么百位上和千位上则分别有5种和4种选择，故总的可能为4×5×1×6=120种。
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