Let S = {a, b, c}. Find the total number of binary operations on S.

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Solution

Number of binary operations on a set with n elements is $n^{n^{2}}$ .

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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Let S = {a, b, c}. Find the total number of binary operations on S.

Number of binary operations on a set with n elements is nn2. Here, S = {a, b, c} Number of elements in S = 3 Number of binary operations on a set with 3 elements is 332=39

Number of binary operations on a set with n elements is $n^{n^{2}}$ .

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