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Let ‘&’ be a binary operation defined on the set N. Which of the following definitions is commutative but not associative?ans.a & b=a-ba & b=aba & b=ab – 8a & b=a+b Previous Marked for Review Next

Question

Let ‘&’ be a binary operation defined on the set N. Which of the following definitions is commutative but not associative?ans.a & b=a-ba & b=aba & b=ab – 8a & b=a+b Previous Marked for Review Next

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Solution

The operation that is commutative but not associative among the options given is a & b = ab.

Commutative means the order in which the numbers are operated does not change the result. In this case, a & b = ab = b & a, so it is commutative.

Associative means the way in which the numbers are grouped does not change the result. However, for multiplication, (a & b) & c = a & (b & c) does not hold true. Therefore, it is not associative.

So, the correct answer is a & b = ab.

This problem has been solved

Similar Questions

Question 1Variables declared using 'let' can be reassigned.

What does let mean? (please check all true answers)It’s the keyword to define a variable in the local scopeIt’s the keyword to define a variable with optionally initializing it to a valueIt’s the keyword to define a global variableIt’s the keyword to define a constant variableIt’s the keyword to define a variable that can be re-assign during the execution

The main difference between the variables declared with var and with let isOptions: Pick one correct answer from belowvar is confined to a particular function but let is notvar defines values based on conditions but let does notlet is confined to a particular function but var is notlet doesn’t let you change the value of the variable

give me just one option

rephrase it

1/1

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