5 indians and 5 american couples meet at aparty and shake hands. if no wife shakes hands with her own husband and no indian wife shakes hands with a male, then the no. of hand shakes that take place in the party is?

Question

Badiuddin askIITians.ismu Expert · Answer

Dear jee total possible hand shake = 20 C2 indian women shake hand with male = 5 C1 * 10 C1 =50 ways (it include hand shake with her husband also) american women shake hand with their husband in 5 ways so desired hand shake = 20 C2 -50-5 =135 Please feel free to post as many doubts on our discussion forum as you can. If you find any question Difficult to understand - post it here and we will get you the answer and detailed solution very quickly. We are all IITians and here to help you in your IIT JEE & AIEEE preparation. All the best. Regards, Askiitians Experts Badiuddin

Shashwat Sinha · Answer

I did it this way and got 95 as the answer. 1 Indian male would shake hands with 5 American males so total no of handshakes between Indian and American males = 25 (5*5) 1 Indian female would shake hands with 5 American females , so number of handshakes = 25 1 American male would shake hands with 4 American females , so total = 20 (5*4) 1 American female would shake hands with 5 Indian males , so total = 25 (can u guys tell me where am i going wrong)

Vanshika bhalla · Answer

I havent counted hanshakes among indian women and american ones that is...one indian women will shake hands with rest of 4 so total of 5 women will lead to 5*4=20 hamdshakes samr case with american women they will also lead to 20 both adding upto 40 and giving answer 95+40= 135 handshakes

SMITAL LUNAWAT · Answer

20 C 2 (total handshakes) - THE NO OF HAND SHAKES OF INDIAN WOMEN WITH MALES i.e. 5 C 1 X 10 C 1 - 5(handshakes of american males with their own wife). which if finally equal to 10 C 2 – 5 C 1 X 10 C 1 – 5=135

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5 indians and 5 american couples meet at aparty and shake hands. if no wife shakes hands with her own husband and no indian wife shakes hands with a male, then the no. of hand shakes that take place in the party is?

5 indians and 5 american couples meet at aparty and shake hands. if no wife shakes hands with her own husband and no indian wife shakes hands with a male, then the no. of hand shakes that take place in the party is?

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