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

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Joan is allowed to invite 3 of her friends to join her on a family cam [#permalink] New post   26 Oct 2022, 01:20
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87% (00:38) correct 12% (00:35) wrong based on 8 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) 240
(D) 360
(E) 720


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B
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Re: Joan is allowed to invite 3 of her friends to join her on a family cam [#permalink] New post   26 Oct 2022, 08:57
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Given that Joan is allowed to invite 3 of her friends to join her on a family camping trip. And we need to find If Joan has 10 friends, in how many ways can she invite 3 of them

We need to select 3 people out of 10. Since its a selection so order does not matter => Combination

=> 10C3 ways = \(\frac{10!}{3!*(10-3)!}\) = \(\frac{10*9*8*7!}{3!*7!}\) = 120

So, Answer will be B
Hope it helps!
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Re: Joan is allowed to invite 3 of her friends to join her on a family cam [#permalink]
26 Oct 2022, 08:57
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