1.

Find the number of rectangles excluding squares from a rectangle of size 9 × 6.

Answer» Here, n=6 and p=9
`therefore`Number of rectangles excluding square
`=(6*9)/(4)(6+1)(9+1)-underset(r=1)overset(6)(sum)(7-r)(10-r)`
`=945-underset(r=1)overset(6)(sum)(70-17r+r^(2))=945-154=791`


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