Question

Take two digits, say $\text{2 and 3}$.Make four-digits numbers,using both the digits equal number of times.

Which is the largest number?

Which is the smallest number?

How many different numbers can you make in all?

Answer 1

Taking two digits, say $\text{2 and 3}$.All possible four-digits numbers, using both the digits equal number of times are $2233,3322,2323,3232,3223,2332$.

The largest number is $3322$.

The smallest number is $2233$.

Different numbers we can make in all are $16$which are $\text{2222, 2232, 2233, 2322, 2333, 2332, 2323, 2223, 3222, 3223, 3232, 3233, 3322, 3333, 3332, 3323}$.