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oksano4ka [1.4K]
3 years ago
14

The 5 starting players of the basketball team line up for the national anthem before the game. How many different ways can the p

layers line up? 25 ways 60 ways 120 ways 10 ways
Mathematics
1 answer:
densk [106]3 years ago
7 0
5! ways= 120 ways. thats it.
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solution:

I choose 5 women from a pool of 10 in 10C2 ways.

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So total number of ways of choosing in 10C2 x 12C2. Now I need to arrange them in 5 pairs. This is where I have a different solution. The solution says that there are 5! ways to arrange them in pairs.

But I cant seem to understand why? My reasoning is that for first pair position I need to choose 1 man from 5 and 1 woman from 5. So for the first position I have 5 x 5 choices (5 for man and 5 for woman). Similarly for the second position I have 4 x 4 choices and so on. Hence the total ways are 5! x 5!

So I calculate the total ways as 10C2 * 12C2 * 5! * 5!. Can anyone point the flaw in my reasoning for arranging the chosen men and women in pairs.

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Frank ran 3x Keiko ran 4y  3x >_ 4y

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I would use the sale price.

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