PLEASE NOTE THE FOLLOWING THINGS WHEN USING THE CALCULATOR: • Please only enter non-negative integers, as any other number wouldn't make sense in this case. + no letters/symbols/non-numbers • The 2nd number can't be more than the first number (x≥y). Otherwise, you'll get a decimal, which in reality wouldn't make sense. • Scratch struggles a lot with finding factorials greater than 21. Since it's a choice calculator, it should be able to support them more, but there might be a few glitches with larger numbers. For example, 999 choose 998 will come out as "NaN" (even though it's only 999). welcome to my choose/choice/whatever it's called calculator somehow I was never taught the name of this function, so here's a quick summary of what I mean when I say "choose": x choose y, written like a fraction in parentheses without the line separating the numerator and denominator, basically represents the amount of ways to choose y random objects out of x total objects when the order of the y objects doesn't matter. It can be calculated in 2 ways: 1. x choose y = x! ÷ [y! • (x-y)!] or you can simplify: 2. x choose y = [x(x-1)(x-2...(x-y+1)] ÷ y! I used method 1 to make the calculator, as it is much easier to code or write down, but once you can fully understand method 2, it can save you a lot of time when solving it yourself. real-world example of "choosing": Imagine you teach a class of 20 students. No one wants to present their presentation to the class, so you put all their names (which happen to be letters of the English alphabet) into a hat and randomly draw 3 names to choose who gets the honor to present. The question is, how many possible ways are there to choose the 3 students? (order is irrelevant) At first, you can use basic counting to solve this. There are 20 possibilities for the first student, 19 for the second, and 18 for the third, so your result will be 20•19•18. But say you draw students e, i, and p in that order. That's the same as drawing iep, pei, π, epi, or ipe. There are 3!, or 6, ways to draw the same set of students because that's the amount of ways to arrange the 3 names in a line (see my factorial calculator). So since each set of students can be drawn 3! times, your answer will be (20•19•18) ÷ 3! --> 20•19•18÷6 --> 20•19•3 --> 20•57 --> 1140. Or instead of going through all the pain of calculating, I can enter 20 choose 3 into my calculator :) and get the same answer of 1140! so I guess that's all lol idk when anyone would ever need to use this and I doubt anyone read through the full description but I had fun writing it so goodbye and have a great day :)
