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    What is 0^0? What is 0 factorial? Please explain why.

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    • A
      Ashila M0★ M1★ M2 M3 M4 M5 @Legendaryboy991
      last edited by

      @legendaryboy991
      The answer of a calculator will display 1 for 0^0, but if you do some digging, the answer is still disputed,
      https://www.maa.org/book/export/html/116806
      Linked below is an awesome read more about the topic, the basic rundown is, if you're looking at it algebraically,
      0^0=1
      But if you're doing stuff with limits,
      0^0 is an indeterminate form
      a818e28e-7df8-4689-9335-5512fdbf0116-image.png
      also, I'm not sure what calculator you're using, but the google calculator and my Casio 115 (As well as my Casio 991) give me 0!=1, and 1! isn't nessicarily 1x1, it's just 1, i believe.

      1 Reply Last reply Reply Quote 1
      • Legendaryboy991L
        Legendaryboy991 M0
        last edited by

        Im using the same and I clicked on that link before

        1 Reply Last reply Reply Quote 1
        • Legendaryboy991L
          Legendaryboy991 M0
          last edited by

          its just that what do you multiply in 0! ?

          1 Reply Last reply Reply Quote 2
          • Legendaryboy991L
            Legendaryboy991 M0
            last edited by

            like 7! is 7x6x5x4x3x2x1 (you don't need one) is 5040.

            1 Reply Last reply Reply Quote 1
            • A
              Ashila M0★ M1★ M2 M3 M4 M5
              last edited by

              @legendaryboy991
              The thing is, you don't multiply anything in 0!, which is indeed, pretty confusing.
              You basically look at it from a logical angle instead;
              How many ways are there to arrange 'nothing'?
              1.
              By having nothing.
              So, taking your example, 7! you now have a number of ways to rearrange 7 things,
              and 0! would be 1 because there's one way to arrange it.
              0! is also what's known as an empty product (Here's a wiki article on empty products:
              https://en.wikipedia.org/wiki/Empty_product)

              1 Reply Last reply Reply Quote 1
              • Legendaryboy991L
                Legendaryboy991 M0
                last edited by

                The thing is how to arrange 0 things????? Suppose you have nothing an you want to arrange it. That makes no sense!

                A 1 Reply Last reply Reply Quote 1
                • A
                  Ashila M0★ M1★ M2 M3 M4 M5 @Legendaryboy991
                  last edited by

                  @legendaryboy991 it actually sorta does if u think about it-

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                  • Legendaryboy991L
                    Legendaryboy991 M0
                    last edited by

                    Hey im only going to 4th grade

                    E 1 Reply Last reply Reply Quote 1
                    • E
                      energizedpanda M2★ M3★ M4 M5★ @Legendaryboy991
                      last edited by

                      @legendaryboy991 Think of it this way: How many ways to arrange 0 thins? 1: Do nothing. you can't do anything else 🙂

                      It seems that you have started your math journey pretty early! 😄

                      ~∑nergized Pand∆

                      Legendaryboy991L 1 Reply Last reply Reply Quote 1
                      • Legendaryboy991L
                        Legendaryboy991 M0 @energizedpanda
                        last edited by

                        @energizedpanda XD

                        1 Reply Last reply Reply Quote 1

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