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In how many ways can a committee of 3 women and 2 men be chosen...

Further Mathematics
WAEC 2023

In how many ways can a committee of 3 women and 2 men be chosen from a group of 7 men and 5 women?

  • A. 500
  • B. 350
  • C. 720
  • D. 210
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Correct Answer: Option D
Explanation

For choosing, its different 'combinations'

Options - 7 men, 5 women
To pick - 2 men, 3 women

∴ The number of ways to choose a committee of 3 women and 2 men from a group of 7 men and 5 women is:
=\(^5C_3 \times ^7C_2\)

=\(\frac{5\times4\times3}{3\times2}\times\frac{7\times6}{2\times1}\)

=\(10\times21\)

=210


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WAEC May/June 2024 - Practice for Objective & Theory - From 1988 till date, download app now - 99995
WAEC Past Questions, Objective & Theory, Study 100% offline, Download app now - 24709
Post-UTME Past Questions - Original materials are available here - Download PDF for your school of choice + 1 year SMS alerts
WAEC offline past questions - with all answers and explanations in one app - Download for free
WAEC May/June 2024 - Practice for Objective & Theory - From 1988 till date, download app now - 99995
WAEC Past Questions, Objective & Theory, Study 100% offline, Download app now - 24709
Post-UTME Past Questions - Original materials are available here - Download PDF for your school of choice + 1 year SMS alerts
WAEC offline past questions - with all answers and explanations in one app - Download for free