Let $*$ be binary operation on the set $\{1, 2, 3, 4, 5\}$ defined by a $*$' b $=$ H.C.F. of a and b. Is the operation $*$' same as the operation $*$ defined in Q. 4 above? Justify your answer.
Let $*$ be binary operation on the set $\{1, 2, 3, 4, 5\}$ defined by a $*$' b $=$ H.C.F. of a and b. Is the operation $*$' same as the operation $*$ defined in Q. 4 above? Justify your answer.
Official Solution
VVidaara Team
✓ Verified solution
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Let A $= \{1, 2, 3, 4, 5\}$
a$*$' b $=$ HCF of a and b is given by
We observe that the operation $*$' is the same as the operation $*$ in Q. 4.
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