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GATE | GATE-CS-2006 | Question 25
Let S = {1, 2, 3, ...., m}, m>3. Let x1, x2,....xn be the subsets of S each of size 3. Define a function f from S to the set of natural numbers as, f(i) is the number of sets [Tex]X_j[/Tex] that contain the element i. That is, f(i) = |{j|i [Tex]\\epsilon[/Tex] [Tex]X_j[/Tex]}|.
Then, [Tex]\\sum_{i=1}f(i)[/Tex] is :
(A)
3m
(B)
3n
(C)
2m + 1
(D)
2n + 1
Answer
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