Number of ways to arrange a set of items (Math)

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Disclaimer: This video is for entertainment purposes only and should not be considered academic. Though all information is provided in good faith, no warranty of any kind, expressed or implied, is made with regards to the accuracy, validity, reliability, consistency, adequacy, or completeness of this information. Viewers should always verify the information provided in this video by consulting other reliable sources.
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Thank you! Using this to research my next video. I knew you can use factorials to find out the way to arrange a certain number of objects, but I needed someone to explain it to my clearly- and you did that! Thanks, from one floating hand to another.

mathoc
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Good re-assurance video, deserves more views.

GoobNoob
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How do I calculate this? Goalkeeper blocks 4 shots out of 6. How many alternative situations the event includes?

megapet
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is there a shortcut

i was trying to figure this out and i got this far on my own but there has to be a shortcut my brain i screaming it at there must be a pattern

palebluedot
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So how would you represent each set, through all 24 mathematically. I would like to track each arrangement.

stevensonnwokenkwo
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Everyone seems to describe this in the exact same way. But no one DEMONSTRATES how the math plays out. I keep getting 12 alternatives. Not saying I'm right. But I'd sure like to see a video that demonstrated why I'm wrong. To me, this just shows an application of a formula-- but it doesn't show the relationship to the formula to what it solves.

MikeB-spgp