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In how many ways can a delegation of 3 be chosen from among 5 men...

Mathematics
JAMB 2000

In how many ways can a delegation of 3 be chosen from among 5 men and 3 women, if at least one man and at least one woman must be included?

  • A. 15
  • B. 28
  • C. 30
  • D. 45
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Correct Answer: Option D
Explanation

No of ways of choosing 1 man, 2 women = 5C1 x 3C2
No of ways of choosing 2 men, 1 woman = 5C2 x 3C1
Summing, => (5C1 x 3C2) + (5C2 x 3C1) = 15 + 30 = 45

There is an explanation video available below.

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Explanation Video

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WAEC and NECO CBT App for Mobile Devices - Candidates, Schools, Centres, Resellers - 100% Offline -Download Now
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WAEC Past Questions, Objective & Theory, Study 100% offline, Download app now - 127076
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WAEC and NECO CBT App for Mobile Devices - Candidates, Schools, Centres, Resellers - 100% Offline -Download Now
Post-UTME Past Questions - Original materials are available here - Download PDF for your school of choice + 1 year SMS alerts