Question

Form all 3-digit numbers using digits 4, 5 and 6, Show that sum of all these numbers is divisible by 37 .​

Answer 1

Answer:

The numbers which can be formed using 4, 5 and 6 are =

456, 465, 645, 546, 564, 654.

Sum of all numbers =

$456 + 465 + 645 + 546 + 564 + 654 \\ \\ = 3330$

Now Dividing it by 37.

$\frac{3330}{37} \\ \\ = 90$

So it is divisive by 37.

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