Permutation and CombinationHard

Question

No. of diffent squares of any size (side of square be natural no.) which can be made from a rectangle of size 15 × 8, is -

Options

A.456
B.120
C.228
D.None of these

Solution

maximum size of square can be 8 x 8  
so required no. of square be (16 - r)(9 - r) = r2 - 25r + 144 = 456

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