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Question

Question: The figures 4, 5, 6, 7, 8 are written in every possible order. The number of numbers greater than 56...

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

A

72

B

96

C

90

D

98

Answer

90

Explanation

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, 4 occurs on the first two places].