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which are the laws of permutation

which are the laws of permutation

Grade:12

1 Answers

SHAIK AASIF AHAMED
askIITians Faculty 74 Points
7 years ago
Hello student,
The law of permutation says this: P implies that Q implies that R if and only if Q implies that P implies that R. That is, P > (Q > R) is logically equivalent to Q > (P > R).
Remember that P > (Q > R) is equivalent to (P & Q) > R, and Q > (P > R) is equivalent to (Q & P) > R. Now, clearly, P & Q is equivalent to Q & P, so (P & Q) > R is equivalent to (Q & P) > R, and, hence, P > (Q > R) is equivalent to Q > (P > R).
Thanks and Regards
Shaik Aasif
askIITians faculty

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