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Bunuel
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How many two-digit numbers can be formed from the digits 1 through 9, if no digit appears twice in a number?

The tens digit can be any number between 1 & 9 = 9 ways.
Since no digit can repeat, we cannot use the same digit chosen for the tens place for the ones place. So, we can select ones digit in 8 ways.
Total ways= 9*8= 72

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For the first digit we will have 9 choices 1 to 9
For the second digit we will have 8 choices (1 to 9 - the first digit)

So the total number of numbers will be 9*8=72
Bunuel
How many two-digit numbers can be formed from the digits 1 through 9, if no digit appears twice in a number?

(A) 36
(B) 72
(C) 81
(D) 144
(E) 162


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