Find The Number Of Integers Greater Than 7000 That Can Be Formed With The Digits 3, 5, 7, 8 And 9, No Digit Being Repeated.

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Find the number of integers greater than 7000 that can be formed with the digits 3, 5, 7, 8 and 9, no digit being repeated.


Correct option is


A five digit integer is always greater than 7000. The number of such integers is 5P5 = 5! = 120. For a four digit integer to be greater than 7000, it must being with 7, 8 or 9. The number of such integers is 120 + 72. Hence, the required number of such integers is 120 + 72 = 192.



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