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Q.

The number of 3 digit odd numbers, that can be formed by using the digits 1,2,3,4,5,6 when the repetition is allowed is

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a

60

b

108

c

36

d

3

answer is B.

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Detailed Solution

Extreme left place can be filled in 6 ways. The middle place can be filled in 6 ways and extreme right place in only 3 ways

               (  number to be formed is odd)

 Required number of numbers

             =6×6×3=108

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The number of 3 digit odd numbers, that can be formed by using the digits 1,2,3,4,5,6 when the repetition is allowed is