Question

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