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Question

Question: How many numbers lying between 500 and 600 can be formed with the help of the digits 1, 2, 3, 4, 5, ...

How many numbers lying between 500 and 600 can be formed with the help of the digits 1, 2, 3, 4, 5, 6 when the digits are not to be repeated.

A

20

B

40

C

60

D

80

Answer

20

Explanation

Solution

There must be 5 at hundred place, now 2 numbers to be chosen from 5 numbers i.e.i.e., 5P2=5×4=205P_{2} = 5 \times 4 = 20.