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Numerical Ability
Permutation and Combination
20 men handshake with each other without repetition. What is the total number of handshakes made?
a)190 b)210 c)150 d)250
Read Solution (Total 14)
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- each person can shake hand with other person not to himself.
so,1st person can shake hand with 19 others
2nd can shake with 18 others as its handshake with 1st is already counted above
and so on.
19+18+17+16+15+14+13+12+11+10+9+8+7+6+5+4+3+2+1=190 - 9 years agoHelpfull: Yes(7) No(1)
- 20C2 is the solution.
20 C 2 =190
- 9 years agoHelpfull: Yes(5) No(0)
- total no of handshakes=190
- 9 years agoHelpfull: Yes(3) No(1)
- 20c2...there are 20 men to handshake we have to select two people
- 9 years agoHelpfull: Yes(2) No(0)
- 19+18+17+16+15+14+13+12+11+10+9+8+7+6+5+4+3+2+1=190
- 9 years agoHelpfull: Yes(1) No(0)
- (n(n-1))/2=(20*19)/2=190 hand shakes
- 9 years agoHelpfull: Yes(1) No(0)
- number of handshek nc2.... so answer is 20c2...option a) 190 is correct
- 9 years agoHelpfull: Yes(0) No(0)
- they are 20 members. all are exactly handshake only once.
two members are handshake so 2, total member 20.
20c2
20*19/2*1=190 - 9 years agoHelpfull: Yes(0) No(0)
- 2 hands are required 4 a handshake so, 20C2=190
- 9 years agoHelpfull: Yes(0) No(0)
- two people can hand shake 1 time(2c2),3 people can get 3times(3c2),4 people can get 6 times(4c2),likely 20 people can get 20c2 handshakes that is (20*19/2)=190
- 9 years agoHelpfull: Yes(0) No(0)
- 20 men can shake in 20c2 way=190
- 9 years agoHelpfull: Yes(0) No(0)
- 190.because it is a linear one.so that the ans should be 20c2
- 9 years agoHelpfull: Yes(0) No(0)
- number of handshek nc2.... so answer is 20c2...option a) 190 is correct
- 8 years agoHelpfull: Yes(0) No(0)
- Inorder to make handshake we need to have two hands.
So we do combination i.e;20c2;
(20*19)/2=190 - 6 years agoHelpfull: Yes(0) No(0)
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