Mathematics

Write all possible 2-digit numbers that can be formed by using the digits 2, 3 and 4. Repetition of digits is not allowed. Also find their sum.

Number System

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Answer

We are required to write 2-digit numbers using the digits 2, 3 and 4, where repetition of digits is not allowed.

Out of the given digits, the possible ways of choosing two digits are: 2, 3; 2, 4; 3, 4.

Using the digits 2 and 3, the numbers are 23 and 32.

Using the digits 2 and 4, the numbers are 24 and 42.

Using the digits 3 and 4, the numbers are 34 and 43.

All possible 2-digit numbers: 23, 32, 24, 42, 34, 43.

Sum = 23 + 32 + 24 + 42 + 34 + 43

= 198

Hence, all possible 2-digit numbers are 23, 32, 24, 42, 34, 43 and their sum is 198.

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