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IPMAT Indore 2022 - QA (MCQ) Q17 Explanation
December 27, 2024
Explanation:
(c)
If Set A = {1, 2, 3 ………’m' elements} and Set B = {a, b, c. ………’n’ elements}
Then total number of relations = 2^mn
& Total no. of all possible functions = 𝑛^𝑚
(From set A to set B)
& Total number of all possible functions = 𝑚^𝑛
(From set B to set A)
As per the question,
A= [1,2,3} = 3 elements.
B = {a, b} = 2 elements.
∴ Total number of functions from set A to set B = 2^3 & Total number of relations = 2^2 × 3 = 2^6
∴ P(𝐸) = 2^3/2^6 =1/2^3 = 1/8 .