Let x denote the total number of one-one functions from a set A with 3 elements to a set B…

Question

Let x denote the total number of one-one functions from a set A with 3 elements to a set B with 5 elements and y denote the total number of one-one functions form the set A to the set A $$\times$$ B. Then :

Accepted Answer

Number of elements in A = 3

Number of elements in B = 5

Number of elements in A $$\times$$ B = 15

Number of one-one function

x = 5 $$\times$$ 4 $$\times$$ 3

x = 60

Number of one-one function

y = 15 $$\times$$ 14 $$\times$$ 13

y = 15 $$\times$$ 4 $$\times$$ $${{14} \over 4}$$ $$\times$$ 13

y = 60 $$\times$$ $${7 \over 2}$$ $$\times$$ 13

2y = (13)(7x)

2y = 91x

Solutions · 1