49 members attended a a party. 22 are male and 27 are female. The shake hands are done between males, females, males and females. Total 12 people given shake hands. Total how many such shake hands are possible?

• Male and female are given to distract you.
  
  As it basically tells you that there are 12 people shaking hands.
  Each handshake involves two people.
  
  Using formula : 12C2=66
  Answer:66
• 11 years agoHelpfull: Yes(45) No(1)
• for n number of people=n*(n-1)/2
  so for 12 people 12*(12-1)/2=66
• 11 years agoHelpfull: Yes(12) No(2)
• Total members 12.
  (possibility are all are males or all or females or 1 male and 11 female or 2 male 10 females........)
  let all r males or females
  handshakes = 11+10+9+8+.....+1=66(n(n+1)/2--->sum of series)
  let 1 Male and 11 Females
  handshakes between females are 10+9+8+....+1=55
  handshakes between 11 females and one male=11
  so total handshakes is 66...
  (like this all the possible groups gives the same value 66)
• 11 years agoHelpfull: Yes(5) No(1)
• 132.. every person has possibility to shake hand 11 times with other 11 guys.. so total possibility of hand shae is 32
• 11 years agoHelpfull: Yes(2) No(2)
• Let n be the no.of members then,
  total shake hands=n(n-1)/2
  =12*11/2=66
• 11 years agoHelpfull: Yes(2) No(1)
• Let n be the no.of members then,
  total shake hands=n(n-1)/2
  =12*11/2=66
• 11 years agoHelpfull: Yes(2) No(0)
• Don't confuse about hand shakes between male, female,male and female.
  
  12 people given handshakes..and hence 11+10+9+8+7+6+5+4+3+2+1
  
  and totally 66
• 11 years agoHelpfull: Yes(2) No(0)
• 1> 2,3,4,5,6,7,8,9,10....11 .. 11 handshakes
  2> 3,4,5,6,7,8,9,10, 10handshake
  3> 4,5,6,7,8,9, .. 9handshake
  4 > similarly . 8 handshakes
  5 >
  6 >
  7 >
  8 >
  9 >
  
  Add them all = sum of 11 natural no .= {n*(n+1)/2} here n=11 ans :
  66 handshakes...
• 11 years agoHelpfull: Yes(2) No(1)
• ans:66,12th person gives shake hands to 11 members & 11th one gives to 10 members leaving count of 12th member and soon.
  1+2+3............+11=(11*12)/2=66
• 11 years agoHelpfull: Yes(2) No(1)
• Very simple formula for all kinds of handshake problems is
  nc2=n(n-1)/2
  so here n= number of persons given handshakes=12
  12(11)/2=66
• 10 years agoHelpfull: Yes(1) No(0)
• the total number of peoples are 12
  
  each shake hand involves the two people.
  
  therefore total number of shake hands are 12c2=66
  
  Answer is 66
• 10 years agoHelpfull: Yes(1) No(1)
• sorry in my above solution by mistake i wrote 32.. its 32.. coz 132.. every person has possibility to shake hand 11 times with other 11 guys.. so total possibility of hand shae is 132
• 11 years agoHelpfull: Yes(0) No(3)
• ans is:49c12*12c2
• 9 years agoHelpfull: Yes(0) No(0)