There are 8 pairs of socks and 2 socks are worn from that such that the pair of socks worn are not of the same pair. what is the number of pair that can be formed.

• 7 pairs can be formed.
• 13 years agoHelpfull: Yes(2) No(2)
• one sock of first pair can form 7 pairs with one sock of other pairs.
  one sock of second pair can form additional 6 pairs with one sock of other pairs except first pair..
  ...
  ..
  one sock of 7th pair can form additional 1 pair with one sock of 8th pair..
  
  so total
  7+6+5+4+3+2+1 = 28 pairs can be formed.
• 13 years agoHelpfull: Yes(2) No(2)
• In case of socks where left and right socks of a pair are different, only then 56 pairs are possible.
  But normally socks of a pair are not different, so 28 pairs are possible.
• 13 years agoHelpfull: Yes(2) No(0)
• 7 such pairs can be formed so that the pair of socks worn are not of the same pair.
• 13 years agoHelpfull: Yes(1) No(3)
• This puzzle is given by me.......for that question given answer is 56 But how to come i dont know please explain me
• 13 years agoHelpfull: Yes(0) No(1)
• There are 8 pair of socks which means there are 16 socks.
  We can choose two socks from sixteen socks in 16C2 ways = 16*15/2 = 120 ways two make pairs of socks. Of these only 8 matching pairs. Remaining 112 ways are not making matching pairs. But as each pair has two socks of the same type, so in fact there will be two unmatching pairs of each type. Thus there are will be 112/2 = 56 different unmatching pairs.
• 13 years agoHelpfull: Yes(0) No(1)
• the solution is 28*2=56 becoz for one sock from
  pair one sock of first pair can form 7 pairs with one sock of other pairs.
  one sock of second pair can form additional 6 pairs with one sock of other pairs except first pair..
  ...
  ..
  one sock of 7th pair can form additional 1 pair with one sock of 8th pair..
  
  so total
  7+6+5+4+3+2+1 = 28 pairs can be formed.
  
  and this will be applied for second sock of all pairs
  hence 28*2=56
  
  alternately by permutation law nPr=n!/(n-r)!
  put n=8 and r=2
• 13 years agoHelpfull: Yes(0) No(2)