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

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10 sergeants and 7 lieutenants meet at the training camp. If [#permalink] New post 13 Nov 2006, 21:15
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
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 [#permalink] New post 13 Nov 2006, 21:26
I get 90....not sure though.
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 [#permalink] New post 13 Nov 2006, 22:12
115 ?
10 C 2 + 10 * 7 = 115
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 [#permalink] New post 13 Nov 2006, 23:03
# of combinations for sergeants saluting each other = 10C2 = 45

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

Total = 115
  [#permalink] 13 Nov 2006, 23:03
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