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what is the formula to calculate the no. of onto functions from A to B
Dear prakyath
If A and B are two sets having m and n elements respectively such that 1≤n≤m then number of onto function from A to B is
∑ (-1)n-r nCr rm r vary from 1 to n
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hey can u tell me that in dis ques what shud i take the value of r
Q:- If A= {1,2,3,4} B={4,5,6}, then find he no. of onto functions in this case.
pls tell me as fast it is possible
i need the answer of it too..........
No of elements of A = 4
No of elements of B = 3
usint this formula ∑ (-1)n-r nCr rm r vary from 1 to n
{[(-1)^(3-1)]*3C1*1^4} + {[(-1)^(3-2)]*3C2*2^4{ +{ [(-1)^(3-3)]*3C3*3^4}
= 1*3*1 + (-1)*3*16 + 1*1*81
= 3-48+81
=36
HI
For
set a={a,b,c} and B={m,n}
the number of onto functions by your formula is 6
where as when i try manually it comes 8
according to you what should be the anwer
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