Suppose we want to choose 3 objects, without replacement, from the 4 objects pencil, eraser, desk, and chair.

Question

Suppose we want to choose 3 objects, without replacement, from the 4 objects pencil, eraser, desk, and chair.

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Brielle 2 weeks 2021-09-10T11:49:45+00:00 2 Answers 0

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    2021-09-10T11:51:15+00:00

    Answer:

    1. 24

    2. 4

    Step-by-step explanation:

  1. Answer:

    4 ways of choosing

    Step-by-step explanation:

    If you want to choose 3 objects, without replacement, from the 4 objects which are distinct, then permutation i.e then their arrangement doesn’t really matter. Only their combination will be considered

    That means, order of choosing doesn’t matter,

    pencil/ eraser/ desk will be same as  eraser/ desk/ pencil.

    Number of ways of selecting 3 objects out of 4 distinct objects is:

    ⁴C₃ = \frac{4 !}{3! \times (4-3)!}

    ⁴C₃ = \frac{4 \times 3 \times 2 \times 1}{3 \times 2 \times 1}

    ⁴C₃ = 4

    So, there are 4 ways of choosing

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