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Probability

Which of the ...

Question

Which of the following is not true ?

A

\to a . (\to b + \to c) = \to a . \to b + \to a . \to c

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B

(\to a \times \to b) \times \to c = \to a \times (\to b \times \to c)

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C

\to a . (\to b \times \to c) = (\to a \times \to b) . \to c

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D

\to a \times (\to b + \to c) = \to a \times \to b + \to a \times \to c

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Solution

The correct option is B $(\to a \times \to b) \times \to c = \to a \times (\to b \times \to c)$
$(\to a \times \to b) \times \to c = (\to c . \to a) ¯ b - (¯ c . ¯ b) ¯ a$
$\to a \times (^b \times^c) = (¯ a . ¯ c) ¯ b - (\to a \to b) \to c$
So $(a \times^b) \times \to c \neq ¯ a \times (¯ b \times ¯ c)$

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