Question

write all possible 2-digit numbers using the digits 3, 4, 5. Repetition of digits is not allowed​

Answer 1

Answer:

The given digits are 2,3,4and repetition of digits is not allowed.

Out of the given digits, the possible ways of choosing ways of choosing the two digits are

2,3;2,4;3,4

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

Similarly, Using the digits 2 and 4, the numbers 24 and 42

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

Hence all possible 2−digit numbers are 23,32,24,42,34,43

∴ Sum of above numbers

=23+34+32+24+43+42=198.

Answer 2

The given digits are 3,4,5 and repetition of digits is not allowed.

Out of the given digits, the possible ways of choosing the two digits are

$\boxed{3,4} \boxed{4,5} \boxed{5,3}$

Using the digits 3 and 4, the number are 34 and 43

Using the digits 4 and 5, the numbers are 45 and 54.

Using the digits 5 and 3, the numbers are 53 and 35

Hence, all possible 2-digit numbers are 34, 43, 45, 54, 53, 35

Therefore, Sum of above numbers =34+43+45+54+53+35=264