Find the Question Mark

Logic Level 3

Can you unravel the logic behind these squares and find the value of the question mark?


The answer is 28.

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1 solution

Ethan Mandelez
Apr 11, 2021

This is just about combinations, ( n r ) {n \choose r} , where n n is the number on the top left of every square and r r is the number on the bottom right of every square.

For example,

( 4 4 ) = 1 {4 \choose 4} = 1

( 4 3 ) = 4 {4 \choose 3} = 4

( 3 2 ) = 3 {3 \choose 2} = 3

Therefore,

( 8 2 ) = 28 {8 \choose 2} = 28

Combinations

The answer could also be 262144 if we consider that the number in the top left is the base value which is raised to an exponent of the top number minus the bottom number. 4^(4-4) = 4^0 = 1 4^(4-3) = 4^1 = 4 3^(3-2) = 3^1 = 3 8^(8-2) = 8^6 = 262144

Dan Brabec - 1 month, 4 weeks ago

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Thanks for the heads up, I didn't notice that! Therefore, I've added 2 more squares which doesn't follow your rule. Thanks again

Ethan Mandelez - 1 month, 4 weeks ago

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