Question

If A, B, C are the sets for the letters in the words 'college', 'marriage' and 'luggage' respectively, then verify that A-(B∪C) = (A-B)∩(A-C)

Answer 1

Answer:

A,B,C are the sets of the letters in the word “ College”, “ Marriage” and “luggage”. Can [A – (B ∪ C)] = [(A-B) ∩ (A-C)] be verified?

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5 Answers



Akshay Paratmandali, Webdeveloper

Answered August 31, 2016

Question is right dude.

We consider 1 letter at time only.

Set A contain {C,o,l,e,g} 5 letters

Set B contian {m,a,r,i,g,e} 6 letters

Set C contain {l,u,a,g,e} 5 letters

now (BUC)={m,a,r,i,g,e,l,u}

and [A-(BUC)]={c,o}

(subtract the letter containing in a (BUC) from SET A)

NOW second part

A-B={c,o,l}

A-c={c,o}

now intersection of these two are

[(A-B)n (A-C)]={c,o}

so therefore

we get

[A-(BUC)]=[(A-B)n(A-c)].