Question

How many different numbers of 2-digits can be formed with the digits 1, 2, 3, 4, 5, 6; no digits being repeated?

• A. 40
• B. 30
• C. 35
• D. 45
• E. None of these

Answer 1

The correct option is B 30

We have to fill up two places (since numbers are of 2 digits.
The first place can be filled up in 6 ways. as any 1 of the 6 digits can be placed in the first place. The 2nd place can be filled up in 5 ways as no digit is to be repeated. Hence, both places can be filled up in $6\times 5=30$ ways.