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natita [175]
3 years ago
13

Consider two sets S1 and S2 of size 3 and 2 each.

Computers and Technology
1 answer:
Brrunno [24]3 years ago
7 0

Answer:

Answered

Explanation:

function from S_1 to S_2 (functions have unique mapping

each element in S_1 has 2 elements to map to in S_2 and there are 3 elements in S_1

therefore number of functions = 2^3 = 8 (2 choices for each of 3 elements)

a) relations between S_1 and S_2 are subset of S_1 x S_2

there are 6 elements in S_1 x S_2 therefore relations would be 2^6 = 64

(no of subsets of set of n elements = 2^n)

b) By above explanation functions from S_2 to S_1 = 3^2 = 9

 and relation from S_2 to S_2 = 2^4 = 16

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