0

Guest

Courses New

which are the laws of permutation

which are the laws of permutation

Grade:12

1 Answers

SHAIK AASIF AHAMED
askIITians Faculty 74 Points
9 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

Think You Can Provide A Better Answer ?

Other Related Questions on Algebra

View all Questions »

ASK QUESTION

Get your questions answered by the expert for free

Answer and earn gift vouchers

Win Gift vouchers upto Rs 500/-

View courses by askIITians

Design classes One-on-One in your own way with Top IITians/Medical Professionals

Click Here Know More

Complete Self Study Package designed by Industry Leading Experts

Click Here Know More

Live 1-1 coding classes to unleash the Creator in your Child

Click Here Know More

a Complete All-in-One Study package Fully Loaded inside a Tablet!

Click Here Know More