Question

There are 13 couples, 5 single males and 7 single females in party. Every male shakes hand with every female once. But none shakes hand with his wife. How many handshakes in total took place in the party?

• A. 247
• B. 347
• C. 360
• D. 191

Answer 1

The correct option is B

347

There are 13 couples: 13 males & 13 females In addition to it, there are 5 single males and 7 single females Now, 5 single males can shake hands with 20 females, therefore 5*20 = 100 ways Also, each of 13 males (from the couples) can shake hands with 12 females (except his wife) + 7 single females. So 13 * 19 = 247 ways. Therefore, in total 347 ways