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Book Review.pdf

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Preview of Book Review
🔗 Source: jacs.jp
📊 Size: 458 KB
📄 Pages: 4 pages
⬇️ Downloads: 86

Summary

To solve this problem, we need to determine the number of ways to select a committee of 5 members from a group consisting of 4 men and 6 women, with the condition that there must be at least one man on the committee.

Let's break down the solution step by step:

1. Total Ways Without Restriction: First, calculate the total number of ways to form a committee of 5 people from the 10 available (4 men + 6 women) without any restrictions.
\[
\binom{10}{5} = 252
\]

2. Ways with No Men (All Women): Calculate the number of ways to select a committee consisting entirely of women. Since there are only 6 women, we choose all 5 members from these 6.
\[
\binom{6}{5} = 6
\]

3. Ways with At Least One Man: Subtract the number of all-women committees from the total number of unrestricted committees to find the number of ways to form a committee with at least one man.
\[
\text{Ways with at least one man} = \binom{10}{5} - \binom{6}{5} = 252 - 6 = 246
\]

Thus, there are \( \boxed{246} \) ways to select a committee of 5 members that includes at least one man.

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Description

Diversity and Canadian Schools" by Narumi Kodama, published in 2017 by Tosindo.

Technical Information

  • File Format: PDF
  • File Size: 458 KB
  • Pages: 4
  • Language: EN
  • Total Downloads: 86
  • Last Updated: 6 days ago

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