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RELATIONS AND FUNCTIONS — Maths STD 12 Science — Question

Gujarat BoardEnglish MediumSTD 12 ScienceMathsRELATIONS AND FUNCTIONS2 Marks
Question
Let S = {a, b, c}. Find the total number of binary operations on S.
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Answer

Number of binary operations on a set with n elements is $n^2$.
Here, S = {a, b, c}
Number of elements in S = 3
Number of binary operations on a set with 3 elements is $3^{3^{2}}=3^9$

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