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# Joan is allowed to invite 3 of her friends to join her on a family cam

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Math Expert
Joined: 02 Sep 2009
Posts: 56261
Joan is allowed to invite 3 of her friends to join her on a family cam  [#permalink]

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21 Aug 2018, 06:12
00:00

Difficulty:

15% (low)

Question Stats:

79% (00:39) correct 21% (00:50) wrong based on 42 sessions

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Joan is allowed to invite 3 of her friends to join her on a family camping trip. If Joan has 10 friends, in how many ways can she invite 3 of them?

A. 27
B. 120
C. 140
D. 360
E. 720

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Joined: 20 Feb 2015
Posts: 790
Concentration: Strategy, General Management
Joan is allowed to invite 3 of her friends to join her on a family cam  [#permalink]

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Updated on: 21 Aug 2018, 07:01
Bunuel wrote:
Joan is allowed to invite 3 of her friends to join her on a family camping trip. If Joan has 10 friends, in how many ways can she invite 3 of them?

A. 27
B. 120
C. 140
D. 360
E. 720

He has to select 3 from 10
10C3
=120

Originally posted by CounterSniper on 21 Aug 2018, 06:54.
Last edited by CounterSniper on 21 Aug 2018, 07:01, edited 1 time in total.
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Joined: 18 Jul 2018
Posts: 981
Location: India
Concentration: Finance, Marketing
WE: Engineering (Energy and Utilities)
Re: Joan is allowed to invite 3 of her friends to join her on a family cam  [#permalink]

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21 Aug 2018, 07:00
Bunuel wrote:
Joan is allowed to invite 3 of her friends to join her on a family camping trip. If Joan has 10 friends, in how many ways can she invite 3 of them?

A. 27
B. 120
C. 140
D. 360
E. 720

Joan can select in $$10C_3$$ ways = $$\frac{10!}{7!3!}$$ = 120.

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Re: Joan is allowed to invite 3 of her friends to join her on a family cam   [#permalink] 21 Aug 2018, 07:00
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