Maharashtra State BoardHSC Science (General) 11th
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Factorial Notation

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  • Properties of the factorial notation:
    For any positive integers m, n.,
    1) n! = n × (n - 1)!
    2) n > 1, n! = n × (n - 1) × (n - 2)!
    3) n > 2, n! = n × (n - 1) × (n - 2) × (n - 3)!
    4) (m + n)! is always divisible by m! as well as by n!
    5) (m × n)! ≠ m! × n!
    6) (m + n)! ≠ m! + n!
    7) m > n, (m - n)! ≠ m! - n! but m! is divisible by n!
    8) (m ÷ n)! ≠ m! ÷ n
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