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What do the symbal ! stand for in math equations?

And how is it used? for example

8! X 3^8 X 12! X 2^10

Update:

ohhh no kidding! i learned that like my freshman year. I was just trying to find out the permutations of a rubik's cube, and that was in the solution and i didn't know what it meant.... so thanks!

9 Answers

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  • 1 decade ago
    Favorite Answer

    ! means factorial eg

    8! = 8*7*6*5*4*3*2*1

  • 1 decade ago

    eHow website says that the symbol ! is an exclamation point that follows a number or variable. For example to solve it you multiply every positive integer that leads up to it:

    2! = 1 x 2 = 2 or 7! = 1 x 2 x 3 x 4 x 5 x 6 x 7 = 5,040.

    Why is it needed? It is used when you have a group of people sharing a bunch of things. If there are 7 things, the first person has seven choices to pick from, the second person will have one less choice or six things, and the third person will have five things and so on. The answer 5,040 is the total number of ways for 7 people to share seven things.

    In case you were wondering, If you have less than seven people, lets say you have 3 people, then you just have 5 x 6 x 7 = 210 ways. And if you have more than 7 things, lets say you have 11 things, it would be 11 x 10 x 9 x 8 x 7 x 6 x 5. That's part of 11! (eleven factorial).

  • Anonymous
    1 decade ago

    It means "factorial" and is used this way:

    2! is read "2 factorial" and is computed as 2*1=2

    3! is computed as 3*2*1=6

    4! means 4*3*2*1=24

    Get it? So for example, 24! means:

    24*23*22*21*20*19*18*17*16*15*14*13*12*11*10*9*8*7*6*5*4*3*2*1=A REALLY BIG NUMBER! :)

    So your problem:

    8! X 3^8 X 12! X 2^10 is really

    (8*7*6*5*4*3*2*1) X (3*3*3) X (12*11*10*9*8*7*6*5*4*3*2*1) X (2*2*2*2*2*2*2*2*2*2)

    And I'll leave it to you to multiply out the final answer.

    Have a good day!

  • 1 decade ago

    n! means "n factorial". It's given by the formula:

    n! = 1 x 2 x 3 x 4 x ... x (n - 1) x n

    Also, 0! is defined to be 1. This property is commonly used:

    n! = n x (n - 1)!

    It's used often in enumeration. For example, if you have 10 things, the number of ways you can arrange them into a line would be 10!

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  • 1 decade ago

    its factorial. if its 8!, it is 8*7*6*5*4*3*2*1, or 40320.

    make it a good day

  • 1 decade ago

    ! stands for factorial.

    Its defined as n! = n * (n-1) * (n-2) * (n-3) * .... * 1.

    In words, its the product of all numbers from 1 to that number.

    It is a modular function... ie applies only to a positive whole number.

  • 1 decade ago

    That denotes a factorial. See this Wikipedia article for an explanation:

    http://en.wikipedia.org/wiki/Factorial

  • 1 decade ago

    its a factorial:

    so 8! (eight factorial) is = to 8x7x6x5x4x3x2x1

    or 9!=9x8x7x6x5x4x3x2x1

    thats all it means.

  • 1 decade ago

    ! stand for factorial.. it's the product of all number less than and equal to n..

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