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Q.

The number of five digit numbers that can be formed with 0, 1, 2, 3, 4, 5, 6, 7 is: ____.

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Detailed Solution

The next four places can be filled in

{8 - 1}_{P_{4}}

ways.
Total number of 5 digit numbers formed using the given digits is

8_{P_{5}}

Deleting the ones starting with 0, we get

8_{P_{5}}

−

7_{P_{4}}

= the total number of valid 5 digit numbers thus formed using the given digits.

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