find any two integer less than -101.
Answers
Answer:
This cannot be generalized for Integers, since the number of ways will always be infinite.
Now for your question, suppose you have to find the number of ways in which the sum of two positive numbers is less than or equal to 50. Then you could write this down as:
x+y≤50 with x,y≥0 . (this will change to x,y≥1 for natural numbers)
And you could take an extra variable t which takes the leftover value and always maintains the sum to 50 and re-write your equation as:
x+y+t=50 with x,y,t≥0 . (this will again change to x,y≥1 for natural numbers)
This could be solved easily using binomial expansion. Just find the coefficient of x50 in the expansion of (1−x)−3
(I am assuming you'll know how we arrive at (1−x)−3 )
HOPE It's HELP U ❤
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