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Question

The number of different 6-digit numbers that can be formed using the three digits 0,1 and 2 is

A
36
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B
2 x 35
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C
35
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D
none of these
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Solution

The correct option is B 2 x 35
in the six places of the digits, the first place can be filled only by 01 or 2 (if 0 comes in first place, that makes it 5 digit number) and the remaining places can be filled by any one of the 3 digits.
So, first place has only 2 choices and the remaining 5 places have 3 choices each.
Hence,the number of different 6-digit numbers that can be formed using the three digits 0,1 and 2 = 2×35

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