Use Coupon: CART20 and get 20% off on all online Study Material

Total Price: Rs.

There are no items in this cart.
Continue Shopping
jee king king Grade: 12

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?

8 years ago

Answers : (4)

Badiuddin askIITians.ismu Expert
147 Points

Dear jee

total possible hand shake =20C2

indian women shake hand with male =5C1 *10C1 =50  ways (it include hand shake with her husband also)

american women shake hand with their husband in 5 ways

so desired hand shake = 20C2 -50-5


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.
Askiitians Experts

8 years ago
Shashwat Sinha
36 Points
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)
one year ago
Vanshika bhalla
11 Points
										I havent counted hanshakes among indian women and american ones that 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
one year ago
11 Points
20C2 (total handshakes) - THE NO OF HAND SHAKES OF INDIAN WOMEN WITH MALES i.e. 5C1 X 10C- 5(handshakes of american males with their own wife). which if finally equal to 10C2 – 5C1X10C1 – 
6 months ago
Think You Can Provide A Better Answer ?
Answer & Earn Cool Goodies
  • Complete JEE Main/Advanced Course and Test Series
  • OFFERED PRICE: Rs. 15,900
  • View Details

Ask Experts

Have any Question? Ask Experts

Post Question

Answer ‘n’ Earn
Attractive Gift
To Win!!! Click Here for details