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Consider a binary operation ∗ on the set {1, 2, 3, 4, 5} given by the following multiplication table (Table 1.2). Compute (2 ∗ 3) ∗ (4 ∗ 5).

Q.4 Consider a binary operation ∗ on the set {\{1, 2, 3, 4, 5\} given by the following
multiplication table (Table 1.2).

(iii) Compute (2 ∗ 3) ∗ (4 ∗ 5).

(Hint: use the following table)

Answers (1)
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(iii) (2 ∗ 3) ∗ (4 ∗ 5).

from the above table

(2*3)*(4*5)=1*1=1

 

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