Number of binary operations on the set a, b are: 1. 8 2. 20 3. 10… - Vidyadip

Question

Number of binary operations on the set {a, b} are:

8
20
10
16

✓

Answer

16

Solution:

Let the given set be A = {a, b}

n(A) = 2

Total number of binary operations = 2(2 × Number of elements in the set)

= 2(2 × 2)

= 24

= 16

Therefore, the number of binary operations on the set {a, b} are 16.

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