Fsc Part 1 Mathematics (Complete Solution)

Q5
Which of the following binary operations showun in tables (a) and (b) is

(a)
* a b c d
a a c b d
b b c b a
c c d b c
d a a b b

(b)
* a b c d
a a c b d
b d b a
c b b a c
d d a c d

Solution:

Binary operation in table (a) is not commutative (∴ a * c=b, c * a=c).

Binary operation in table (b) is not commutative. (∴ a * b=c, b * a=b)

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