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=ab – 8a & b=aba & b=a-b
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=ab – 8a & b=aba & b=a-b
Solution
The operation that is commutative but not associative among the given options is a & b = a + b.
Let's break it down:
-
Commutative property: An operation is commutative if changing the order of the operands does not change the result. In other words, a & b = b & a.
For a & b = a + b, it is indeed commutative because a + b = b + a.
-
Associative property: An operation is associative if the way in which operands are grouped does not change the result. In other words, (a & b) & c = a & (b & c).
However, for a & b = a + b, it is not associative because (a + b) + c ≠ a + (b + c) in general.
Therefore, a & b = a + b is commutative but not associative.
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
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.