Permutations And Combinations Question 258

The digits 4, 5, 6, 7, 8 are written in every possible order. The number of numbers greater than 56000 is

Options:

A) 72

B) 96

C) 90

D) 98

Show Answer

Answer:

Correct Answer: C

Solution:

  • Required number of ways = $ 5\ !\ -4\ !\ -3\ ! $ $ 120-24-6=90 $ . [Number will be less than 56000 only if either 4 occurs on the first place or 5 and 4 occurs on the first two places].

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