Arranging men, women problem ?

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In summary, the conversation discusses arranging a group of 10 men and 5 women in specific orders to form couples. The question is about the number of possible permutations and whether the original order can be achieved by reversing the process. It is unclear if the genders can be identified and if interchanging two of the same gender would result in a different order.
  • #1
pjunky
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let there are
10 men and 5 women
if they are standing in a particular order

M M W W M M M M W M M W M M =Z

we have to arrange them in couples.

like this MW MW MW MW MW; MMMMMM =X

condition:-
if you reverse the process, you have to get the given original order=Z

Thanks.
 
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  • #2
And the question is what?
What permutations do we need to do? Or in how many possible ways we can do this?
I would expect the latter, but then the "condition" doesn't make sense to me (for information about the process is not relevant)

Also, you said "they are standing in a particular order". Does this mean that we can identify the separate men and women? So, for example, interchanging the first two people in the row (which are both men), does that give a different order or is it the same?
 

1. What is the problem with arranging men and women?

The problem with arranging men and women often arises in situations where there is a need to group individuals based on their gender, such as in a seating arrangement or for team assignments. This can be a sensitive issue as it may perpetuate gender stereotypes and unequal treatment.

2. How can we address the problem of arranging men and women fairly?

One way to address the issue of arranging men and women fairly is to use a random selection process that does not take gender into consideration. This ensures that everyone has an equal chance of being assigned to a particular group or seat.

3. Are there any benefits to arranging men and women separately?

There may be situations where it is beneficial to arrange men and women separately, such as in certain sports teams or for certain activities that require physical strength. However, in most cases, it is important to promote inclusivity and avoid segregation based on gender.

4. How does arranging men and women impact gender equality?

Arranging men and women in a way that perpetuates gender stereotypes can have a negative impact on gender equality. It may reinforce societal norms and expectations, leading to unequal treatment and opportunities for individuals based on their gender.

5. What are some alternative ways to arrange men and women to avoid gender bias?

Some alternative ways to arrange men and women include using non-gender specific terms (e.g. "Team A" and "Team B" instead of "Men's Team" and "Women's Team") and considering individual strengths and abilities instead of grouping based on gender. Additionally, creating a diverse and inclusive environment where everyone is treated equally can also help address gender bias in arrangements.

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