Factorials

  • Small tomato seedlings in pink pots.
    problem

    Factorised Factorial

    Age
    14 to 16
    Challenge level

    Weekly Problem 17 - 2010
    The value of the factorial $n!$ is written in a different way. Can you work what $n$ must be?

  • Seriesly
    problem

    Seriesly

    Age
    16 to 18
    Challenge level

    Prove that k.k! = (k+1)! - k! and sum the series 1.1! + 2.2! + 3.3! +...+n.n!

  • Seriesly
    problem

    Seriesly

    Age
    16 to 18
    Challenge level

    Prove that k.k! = (k+1)! - k! and sum the series 1.1! + 2.2! + 3.3! +...+n.n!

  • Factorial Fun
    problem

    Factorial Fun

    Age
    16 to 18
    Challenge level

    How many divisors does factorial n (n!) have?

  • Placeholder: several colourful numbers
    article

    Binomial Coefficients

    An introduction to the binomial coefficient, and exploration of some of the formulae it satisfies.

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