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This is a permutation problem.

The digits are: 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9.

The 1st digit has 9 possibilities (it cannot be zero).

Thus, there are 9(9P9) = 9(9!) = 9(362,880) = 3,265,920 such numbers, because:

The 2nddigit has 9 possibilities (because we are left with 9 digits).

The 3rd digit has 8 possibilities.

The 4th digit has 7 possibilities.

The 5thdigit has 6 possibilities.

The 6thdigit has 5 possibilities.

The 7thdigit has 4 possibilities.

The 8thdigit has 3 possibilities.

The 9thdigit has 2 possibilities.

The 10thdigit has 1 possibility.

so that, 9*9*8*7*6*5*4*3*2*1= 3,265,920.

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Q: How many 10 digit numbers contain no repetition of digits?
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