Arithmetic Ability
Permutations and Combinations

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Q.

Find the total numbers greater than 4000 that can be formed with digits 2, 3, 4, 5, 6 no digit being repeated in any number ?

View Answer

Correct choice: C

Explanation:

We are having with digits 2, 3, 4, 5 & 6 and numbers greater than 4000 are to be formed, no digit is repeated. The number can be 4 digited but greater than 4000 or 5 digited. Number of 4 digited numbers greater than 4000 are 4 or 5 or 6 can occupy thousand place => 3 x4 P3= 3 x 24 = 72. 5 digited numbers =5 P5= 5! = 120 So the total numbers greater than 4000 = 72 + 120 = 192
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