Q83
There are 20 couples in a party. Every person greets every person except his or her spouse. People of the same sex shake hands and those of opposite sex greet each other with a Namaste (It means bringing one's own palms together and raising them to the chest level). What is the total number of handshakes and Namaste's in the party?
A.
760
B.
1140
AnswerC.
780
D.
720
Answer: Option B
Solution
Answer: Option B
Solution:
There are 20 men and 20 women.When a man meets a woman, there are two Namastes, whereas when a man meets a man (or a woman) there is only 1 handshake.
Number of handshakes,
= 2 × 20C2 (men and women ) = 2 × 190 = 380
For a number of Namastes, Every man does 19 Namastes (to the 20 women excluding his wife) and they respond in the same way.
Number of Namastes
= 2 × 20 × 19
= 760
Total number of Namastes and Handshake
= 760 + 380
= 1140