Derivation of the Permutations Formula

How many ways can we select r objects from a group of n distinct objects? We answer this question and come up with the famous permutations formula. I hope this helps!
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Thank you:)

[@jaime9927]

The clearest explanation I've seen. Thank you for the help!

[@rohitshastry2007]

This was really helpful!

[@TheMathSorcerer]

Glad it was helpful!

[@zgennaro]

Thank you

[@conspiracies001]

This was really helpful, thank you❤️🫂

[@phenyoratsie4301]

the part that probably would confuse people is the (n - (r -1)) and the (n - r - 1) that follows the (n -r)...

[@Mdlambili]

and I'm confuse

[@featherrin3540]

If I get the part that you mentioned right.. I'll write my understanding down to help others
after arriving at n - (r - 1), we continue the pattern of.. idk what it's called, but in (n - 1), then (n - 2), the substraction gets bigger by 1, so n - (r - 1) also gets a +1, becoming n - r, then it gets +1 again becoming n - (r + 1), the next would be n - (r + 2), and so on

[@arkashvijayakumar4181]

Thanks this was great!

[@phenyoratsie4301]

awesome!