Sathvik has 12 black socks and 12 Design socks in his Shelf. In Comple

1.	Sathvik has 12 black socks and 12 Design socks in his Shelf. In Complete darkness, how many socks must he take from the those to get a matching pair.
Answer» How many SOCKS must Sathvik take? Given :- No. of black socks by Sathvik = 12 No. of designer socks by Sathvik = 12 Solution :- Sathvik PICKED up a sock. He picked up a second sock. Now there are two possibilities :- Either it will match with the first sock or it will not match with the first sock. He picked up a third sock. Now the possibilities are :- It will either match with the first sock he chose or it will match with the second sock he chose. Hence, he will get a pair either way. Let US have a look at the POSSIBLE combinations to understand it clearly :- (B,B,B) ; (B,B,D) ; (B,D,D) ; (D,D,D) ; (D,D,B) ; (D,B,B) Here :- D = Designer Socks B = Black Socks The order represents the three socks chosen. ⇒ Sathvik must take three socks in order to get a MATCHING pair for sure.

Sathvik has 12 black socks and 12 Design socks in his Shelf. In Complete darkness, how many socks must he take from the those to get a matching pair.

Answer»

Given :-

No. of black socks by Sathvik = 12

No. of designer socks by Sathvik = 12

Solution :-

Sathvik PICKED up a sock.
He picked up a second sock. Now there are two possibilities :- Either it will match with the first sock or it will not match with the first sock.
He picked up a third sock. Now the possibilities are :- It will either match with the first sock he chose or it will match with the second sock he chose.
Hence, he will get a pair either way.

Let US have a look at the POSSIBLE combinations to understand it clearly :-

Here :-

D = Designer Socks

B = Black Socks

The order represents the three socks chosen.

⇒ Sathvik must take three socks in order to get a MATCHING pair for sure.