ALL ABOUT NUMBERS
Level
pending
How many perfect squares can be formed by using all the digits 1, 2 and 3, each of the digits given four times?
2
4
0
6
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1 solution
Numbers = 1111 , 2222, 3333.
Any number formed by using all these digits will have digital sum = 1 + 1 + 1 + 1 + 2 + 2 + 2 + 2 + 3 + 3 + 3 + 3 = 2 + 4 = 6.
digital sum of any perfect square cannot be equal to 6 , SO, no perfect square can be made.