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22 Feb 2021, 04:15
Kudos
Bookmarks
C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
75%
(hard)
Question Stats:
55% (02:40) correct
45%
(02:52)
wrong
based on 154
sessions
History
Date
Time
Result
Not Attempted Yet
5 Indian & 5 American couples meet at a party and shake hands. If no wife shakes hands with her own husband and no Indian wife shakes hands with a male then the number of handshakes that takes place in the party is
(A) 95
(B) 110
(C) 135
(D) 150
(E) 160
Are You Up For the Challenge: 700 Level Questions: 700 Level Questions
(A) 95
(B) 110
(C) 135
(D) 150
(E) 160
Are You Up For the Challenge: 700 Level Questions: 700 Level Questions
22 Feb 2021, 04:33
Kudos
Bookmarks
Total number of individuals = (5 * 2) + (5 * 2) = 20
Total number of possible handshakes = nC2 = 20C2 = 190
The handshakes that did not happen:
Number of handshakes of wives with their own husbands = Total number of couples = 10
Number of handshakes of Indian wives with males (other than their own husbands, since that is already counted above) = Number of Indian wives * Number of other males = 5 * 9 = 45
Therefore, number of handshakes that did happen = 190 - 10 - 45 = 135
Answer: (C)
Hope this helps.
Total number of possible handshakes = nC2 = 20C2 = 190
The handshakes that did not happen:
Number of handshakes of wives with their own husbands = Total number of couples = 10
Number of handshakes of Indian wives with males (other than their own husbands, since that is already counted above) = Number of Indian wives * Number of other males = 5 * 9 = 45
Therefore, number of handshakes that did happen = 190 - 10 - 45 = 135
Answer: (C)
Hope this helps.
22 Feb 2021, 04:45
Kudos
Bookmarks
Bunuel
Total people = 10*2 = 20.
Maximum possible handshakes = \(20C2=\frac{20*19}{2}=190\).
Handshakes NOT done
1) Indian wives do not shake hands with all males including own husbands = \(5C1*10C1=5*10=50\)
2) American wives do not shake hands with own husbands = 5 couples = 5
Total handshakes with given restrictions = 190-50-5=135
C
