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Question

With digits 5 and 6 make all possible 4-digit numbers using each digit twice. Also write the greatest and the smallest numbers from them.


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Solution

We want to make four digit numbers using 5 and 6 each digit is repeated twice.

Possible numbers are :

5566,5656,6655,6565,5665,6556

For the greatest number place 6 at the highest place value and then 6 and 5 and in units place 5.

Therefore, the largest four digit number is 6655 using 5 and 6 each digit is repeated twice

For the smallest number place 5 at the higest place value and then 5 and 6 and in units place 6.

Therefore, the smallest four digit number is 5566 using 5 and 6 each digit is repeated twice

Hence, the largest and the smallest numbers are 6655 and 5566 respectively.


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