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Q.

The number of numbers  strictly between 5000 and 10000 can be formed using the digits 1, 3, 5, 7, 9
Without repetition is

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a

72

b

120

c

12

d

6

answer is D.

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Detailed Solution

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No of numbers between 5000 and 10000 can be formed using the digits 1, 3, 5, 7, 9 wihtout reputation − − − − The 1st place fill by 5 or 7 or 9 in 3 ways. Remaining 3 poles can be filled by other 4 digits in 4P3 ways
Required no of ways =3×4P3=3×4!=72

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The number of numbers  strictly between 5000 and 10000 can be formed using the digits 1, 3, 5, 7, 9Without repetition is