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Chris and his wife invited a total of ten families on their marriage

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Joined: 18 Jul 2019
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Chris and his wife invited a total of ten families on their marriage  [#permalink]

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New post 24 Nov 2019, 12:39
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Question Stats:

50% (02:51) correct 50% (02:26) wrong based on 10 sessions

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Chris and his wife invited a total of ten families on their marriage anniversary. While the host family had just the two members, each family invited consisted of four members. If every person in the party shook hands exactly once with every other person belonging to a different family, then find the total number of handshakes that took place in the party.

(C) 729
(B) 800
(A) 801
(D) 850
(E) 851
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Re: Chris and his wife invited a total of ten families on their marriage  [#permalink]

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New post 24 Nov 2019, 13:36
Each member of host family shakes hands with 40 persons, and each member of invited family shakes hand with 38 members.

Total number of handshakes=\( \frac{2*40+ 40*38}{2}=800\)

CaptainLevi wrote:
Chris and his wife invited a total of ten families on their marriage anniversary. While the host family had just the two members, each family invited consisted of four members. If every person in the party shook hands exactly once with every other person belonging to a different family, then find the total number of handshakes that took place in the party.

(C) 729
(B) 800
(A) 801
(D) 850
(E) 851
GMAT Club Bot
Re: Chris and his wife invited a total of ten families on their marriage   [#permalink] 24 Nov 2019, 13:36
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Chris and his wife invited a total of ten families on their marriage

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