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# 10 sergeants and 7 lieutenants meet at the training camp. If

Author Message
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Current Student
Joined: 04 Nov 2006
Posts: 132
Followers: 1

Kudos [?]: 17 [0], given: 8

10 sergeants and 7 lieutenants meet at the training camp. If [#permalink]  13 Nov 2006, 20:15
10 sergeants and 7 lieutenants meet at the training camp. If each sergeant salutes each other and the lieutenant once and each lieutenant salutes each sergeant back but not each other, how many salutes took place?

144
131
115
90
45
Manager
Joined: 29 Aug 2006
Posts: 157
Followers: 1

Kudos [?]: 4 [0], given: 0

I get 90....not sure though.
Senior Manager
Joined: 08 Jun 2006
Posts: 343
Location: Washington DC
Followers: 1

Kudos [?]: 22 [0], given: 0

115 ?
10 C 2 + 10 * 7 = 115
GMAT Club Legend
Joined: 07 Jul 2004
Posts: 5079
Location: Singapore
Followers: 21

Kudos [?]: 180 [0], given: 0

# of combinations for sergeants saluting each other = 10C2 = 45

# of ways for sergeant and lieutenant saluting each other = 70

Total = 115
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