1.

Let A=[1, 2]and B =[3, 4] find the number of relations from A to B​

Answer»

A={1.2}

B={3.4}

n(A) =n(B) = 2

THEREFORE, the TOTAL NUMBER of RELATIONS from A to B are:

\binom{2 \times 2}{0} + \binom{2 \times 2}{1} + \binom{2 \times 2}{2} + \binom{2 \times 2}{3} + \binom{2 \times 2}{4}

= {2}^{2 \times 2} = 16 \: \: relations


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