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

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Manager
Joined: 18 Jul 2019
Posts: 54
Chris and his wife invited a total of ten families on their marriage  [#permalink]

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24 Nov 2019, 12:39
2
00:00

Difficulty:

55% (hard)

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
VP
Joined: 19 Oct 2018
Posts: 1174
Location: India
Re: Chris and his wife invited a total of ten families on their marriage  [#permalink]

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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
Re: Chris and his wife invited a total of ten families on their marriage   [#permalink] 24 Nov 2019, 13:36
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