MAT1375 D557 Sirelson Spring2019

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  • Sequences - Binomial: problem 1
  • May 13, 2019 at 12:40 am #53801

    Michael Ng
    Participant

    Compute (n)= (n!)/(k!(n-k))
    ( k)

    If n=7 and k= 3

    What is n!?
    What is k!?
    What is (n-k)!?

    How am I supposed to find n and k if no one knows how to do it I’ll ask during class on Monday

    May 14, 2019 at 8:20 am #53819

    Victor Sirelson
    Participant

    In this expression, which is sometimes written nCr, both n and r are non-negative integers with n ≥ r.
    It is used to calculate the number of ways that a group of r individuals can be formed from a total group of n individuals.

    The factorial “!” means take the number, multiply it by 1 less and then again by 1 less and so forth until 1 is reached.
    for example, 4! = 4*3*2*1

    5C3 then = 5*4*3/(3*2*1) = 5!/(3!2!) = 10

    There are 10 distinct groups of 3 that can be formed from 10 individuals.

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