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17 September, 09:42

Evaluate each expression.

6! =

3! - 2! = 1

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Answers (1)
  1. 17 September, 10:57
    0
    6!=720

    3! • 2!=12

    Step-by-step explanation:

    We must recall that the factorial of a number n (positive or zero) is the product of all the integers from n down to 1

    n! = n (n-1) (n-2) ... 1

    Let's evaluate the given expressions

    6!=6/cdot 5/cdot 4/cdot 3/cdot 2/cdot 1=720

    Similarly

    3!/cdot 2! = (3/cdot 2/cdot 1) / cdot (2/cdot 1) = 6/cdot 2=12

    Finally

    /displaystyle / frac{6!}{3!}=/frac{6/cdot 5/cdot 4/cdot 3/cdot 2/cdot 1}{3/cdot 2/cdot 1}

    /displaystyle / frac{6!}{3!} = / frac{720}{6}=120
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