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Question

Question: How many numbers, lying between 99 and 1000 be made from the digits 2, 3, 7, 0, 8, 6 when the digits...

How many numbers, lying between 99 and 1000 be made from the digits 2, 3, 7, 0, 8, 6 when the digits occur only once in each number.

A

100

B

90

C

120

D

80

Answer

100

Explanation

Solution

Required number of ways

= 6P35P2=12020=1006P_{3} -^{5} ⥂ P_{2} = 120 - 20 = 100.

{Since between 99 and 1000, the numbers are of 3 digits, but those numbers should be omit in which ‘0’ comes at hundred place}.