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A committee of six is to be formed by a state governor from nine state...

Mathematics
JAMB 2004

A committee of six is to be formed by a state governor from nine state commissioners and three members of the state house of assembly. In how many ways can the members of the committee be chosen so as to include one member of the house of Assembly

  • A. 378 ways
  • B. 462 ways
  • C. 840 ways
  • D. 924 ways
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Correct Answer: Option A
Explanation

The number of ways to choose 1 member from the house of assembly is:
\(\binom{3}{1} = 3\)

The number of ways to choose 5 members from the state commissioners is:
\(\binom{9}{5}\) = 126

Thus, the total number of ways to form the committee is:
\(\text{Total ways} = \binom{3}{1} \times \binom{9}{5}\) = 3 \(\times\) 126 = 378

The total number of ways to form the committee, including one member from the house of assembly, is 378 Ways.

There is an explanation video available below.


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Explanation Video

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WAEC offline past questions - with all answers and explanations in one app - Download for free
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WAEC Past Questions, Objective & Theory, Study 100% offline, Download app now - 127076
Post UTME Past Questions Agent
Post UTME Past Questions Agent
WAEC and NECO CBT Software for Computers and Laptops - Candidates, Schools, Centres, Resellers - 100% Offline -Download Now
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Post-UTME Past Questions - Original materials are available here - Download PDF for your school of choice + 1 year SMS alerts