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The number of functions $f$ from the set A $= {0, 1, 2}$ in to the set $B = {0, 1, 2, 3, 4, 5, 6, 7}$ such that $f (i) \leq f (j) for i < j$ and $i, j \in A$ is

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Correct option is C

A function f:A→B such that f(0)≤f(1)≤f(2) falls in one of the following four categories.Case 1 f(0)

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The number of functions f from the set A ={0,1,2} in to the set B={0,1,2,3,4,5,6,7} such that f(i)≤f(j) for i<j and i,j∈A is

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Ready to Test Your Skills?

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The number of functions $f$ from the set A $= {0, 1, 2}$ in to the set $B = {0, 1, 2, 3, 4, 5, 6, 7}$ such that $f (i) \leq f (j) for i < j$ and $i, j \in A$ is