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How Many Four-digit Numbers Can Be Formed with the Digits 3, 5, 7, 8, 9 Which Are Greater than 8000, If Repetition of Digits is Not Allowed?

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Since the  number has to be greater than 8000, the thousand's place can be filled by only two digits, i.e. 8 and 9.
Now, the hundred's place can be filled with the remaining 4 digits as the repetition of the digits is not allowed.
The ten's place can be filled with the remaining 3 digits.
The unit's place can be filled with the remaining 2 digits.
Total numbers that can be formed = `2xx4xx3xx2=48`

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Chapter 16: Permutations - Exercise 16.2 [Page 15]

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R.D. Sharma Mathematics [English] Class 11
Chapter 16 Permutations
Exercise 16.2 | Q 21 | Page 15

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