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What is the value of 22C19?

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Math Revolution GMAT Instructor
Joined: 16 Aug 2015
Posts: 7372
GMAT 1: 760 Q51 V42
GPA: 3.82
What is the value of 22C19?  [#permalink]

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11 Sep 2018, 02:50
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15% (low)

Question Stats:

80% (00:44) correct 20% (01:04) wrong based on 58 sessions

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[Math Revolution GMAT math practice question]

What is the value of 22C19?

$$A. 770$$
$$B. 1540$$
$$C. 3080$$
$$D. 4620$$
$$E. 6160$$

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MathRevolution: Finish GMAT Quant Section with 10 minutes to spare
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"Only $149 for 3 month Online Course" "Free Resources-30 day online access & Diagnostic Test" "Unlimited Access to over 120 free video lessons - try it yourself" Director Joined: 18 Jul 2018 Posts: 910 Location: India Concentration: Finance, Marketing WE: Engineering (Energy and Utilities) Re: What is the value of 22C19? [#permalink] Show Tags 11 Sep 2018, 02:55 $$22C_{19}$$ = $$\frac{22!}{19!3!}$$ = $$\frac{22*21*20}{6}$$ = 77*20 = 1540. B is the answer. _________________ Press +1 Kudo If my post helps! Senior Manager Joined: 04 Aug 2010 Posts: 416 Schools: Dartmouth College Re: What is the value of 22C19? [#permalink] Show Tags 11 Sep 2018, 05:58 MathRevolution wrote: [Math Revolution GMAT math practice question] What is the value of 22C19? $$A. 770$$ $$B. 1540$$ $$C. 3080$$ $$D. 4620$$ $$E. 6160$$ nCr = nCn-r Thus: 22C19 = 22C22-19 = 22C3 = $$\frac{22*21*20}{3*2*1}$$ = 22*7*10 = 1540 _________________ GMAT and GRE Tutor Over 1800 followers GMATGuruNY@gmail.com New York, NY If you find one of my posts helpful, please take a moment to click on the "Kudos" icon. Available for tutoring in NYC and long-distance. For more information, please email me at GMATGuruNY@gmail.com. Math Revolution GMAT Instructor Joined: 16 Aug 2015 Posts: 7372 GMAT 1: 760 Q51 V42 GPA: 3.82 Re: What is the value of 22C19? [#permalink] Show Tags 13 Sep 2018, 01:36 => Since $$nCn-r = nCr,$$ 22C19 = 22C3 = $$\frac{(22*21*20)}{(1*2*3)} = 11*7*20 = 1540.$$ Therefore, the answer is B. Answer: B _________________ MathRevolution: Finish GMAT Quant Section with 10 minutes to spare The one-and-only World’s First Variable Approach for DS and IVY Approach for PS with ease, speed and accuracy. "Only$149 for 3 month Online Course"
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Re: What is the value of 22C19?   [#permalink] 13 Sep 2018, 01:36
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