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Q.

The number of numbers greater than a million that can be formed with the digits 2, 3, 0, 3, 4, 2 and 3 is

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answer is 360.

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Detailed Solution

Number of 7 digit numbers formed using the digits 2, 3, 0, 3, 4, 2, 3 =7!2! 3!

                                                                                                                       =7×6×5×42=420

These numbers also includes the numbers that begin with ‘0’

No of 7 digit numbers formed using 2, 3, 0,  3, 4, 2, 3 that begin with 0 =6!3! 2!=60

∴ numbers greater than a million formed using 2, 3, 0, 3, 4, 2, 3=420-60=360

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