Lucy Furr must supply 2 different bags of chips for a party. She finds 10 varieties at her local grocer. How many different selections can s

Question

Lucy Furr must supply 2 different bags of chips for a party. She finds 10 varieties at her local grocer. How many different selections can she make?

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Serenity 2 days 2021-09-15T00:34:46+00:00 2 Answers 0

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    0
    2021-09-15T00:36:02+00:00

    Answer:

    she can make 50 different selections!

    Step-by-step explanation:

    To find the different selections that can be made, we use the formula:

    nCr = n! / r! * (n – r)!. Where ‘n’ represents the number of items available and ‘r’ represents the nuber of items being chosen

    In this case:

    ‘n’ equals 10 and ‘r’ equals 2. Therefore:

    10C_{2} = \frac{10!}{2!(10-2)!} = \frac{10!}{2!8!} = \frac{90}{2} =50

    So she can make 50 different selections!

    0
    2021-09-15T00:36:11+00:00

    Answer: 45

    Step-by-step explanation:

    The combination of n things taking r at a time is given by :-

    C(n;r)=\dfrac{n!}{(n-r)!}

    Given : Lucy Furr must supply 2 different bags of chips for a party.

    She finds 10 varieties at her local grocer.

    Then the number of different selections she can make is given by :-

    C(10;2)=\dfrac{10!}{2!(10-2)!}\\\\=\dfrac{10\times9\times8!}{2\times8!}=\dfrac{90}{2}=45

    Hence, the number of different selections she can make= 45

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