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26 May 2016, 12:31
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Difficulty:
35%
(medium)
Question Stats:
73% (02:00) correct
27%
(02:33)
wrong
based on 135
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Morgan Goldman has 3 Senior Managing Directors and 5 Managing Directors. Each investment banking deal requires the guidance of three managing directors, at least one of which must be a Senior Managing Director. How many possible investment banking deals can Morgan Goldman possibly provide guidance for?
(A) 16
(B) 36
(C) 46
(D) 54
(E) 64
(A) 16
(B) 36
(C) 46
(D) 54
(E) 64
austinlm
Joined: 23 May 2016
Last visit: 10 Feb 2019
Posts: 24
Location: United States (WA)
Schools: Foster '20 (M$)
GMAT 1: 710 Q49 V38
GPA: 3.5
WE:Engineering (Energy)
21 Sep 2016, 12:20
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Explanation:
There are three different combinations of teams: 3 Senior/0 Manager, 2 Senior/1 Manager, 1 Senior/2 Manager.
3 Senior/0 Manager - Only one possible combination
2 Senior/1 Manager - 3C2 = 3 Senior combinations, 5C1 = 5 Manager combinations ---> 3x5 = 15
1 Senior/2 Manager - 3C1 =3 Senior combinations, 5C2 = 10 Manager combinations ---> 3x10 = 30
1+15+30 = 46
There are three different combinations of teams: 3 Senior/0 Manager, 2 Senior/1 Manager, 1 Senior/2 Manager.
3 Senior/0 Manager - Only one possible combination
2 Senior/1 Manager - 3C2 = 3 Senior combinations, 5C1 = 5 Manager combinations ---> 3x5 = 15
1 Senior/2 Manager - 3C1 =3 Senior combinations, 5C2 = 10 Manager combinations ---> 3x10 = 30
1+15+30 = 46
General Discussion
26 May 2016, 14:16
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Bunuel
Morgan Goldman has 3 Senior Managing Directors and 5 Managing Directors. Each investment banking deal requires the guidance of three managing directors, at least one of which must be a Senior Managing Director. How many possible investment banking deals can Morgan Goldman possibly provide guidance for?
(A) 16
(B) 36
(C) 46
(D) 54
(E) 64
(A) 16
(B) 36
(C) 46
(D) 54
(E) 64
P(at least 1 S D) = P(Total) - P(0 Senior Director)
=8C3 - 5C3
= 46
