Which of the following is not a commutative property.

a + b + c = b + a + c

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a b c = b c a

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(a + b) + c = (a + c) + b

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None of these

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Solution

The correct option is D $(a + b) + c = (a + c) + b$
option A $\Rightarrow a + b + c = b + a + c \Rightarrow$ commutative property
option B $\Rightarrow a b c = b c a \Rightarrow$ commutative property
option C $\Rightarrow (a + b) + c = (a + c) + b \Rightarrow$ associative property

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Pick the option which shows the correct match.

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Which of the following is not a commutative property.

The correct option is D (a+b)+c=(a+c)+boption A ⇒a+b+c=b+a+c⇒ commutative propertyoption B ⇒abc=bca⇒ commutative propertyoption C ⇒(a+b)+c=(a+c)+b⇒ associative property

The correct option is D $(a + b) + c = (a + c) + b$
option A $\Rightarrow a + b + c = b + a + c \Rightarrow$ commutative property
option B $\Rightarrow a b c = b c a \Rightarrow$ commutative property
option C $\Rightarrow (a + b) + c = (a + c) + b \Rightarrow$ associative property