Padma has room to line up 8 figurines in a display case. How many different ways can she arrange the figurines in the

Question

Padma has room to line up 8 figurines in a display case.

How many different ways can she arrange the figurines in the display case?

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ways

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MichaelMet 29 mins 2023-01-09T17:23:18+00:00 2 Answers 0 views 0

Answers ( 2 )

    0
    2023-01-09T17:25:01+00:00
    • Total figurines=8
    Total ways for n object is n!
    Total ways
    • 8!
    • 8×7×6×5×4×3×2×1
    • 40320ways

    0
    2023-01-09T17:25:09+00:00
    Answer:
    40320
    Step-by-step explanation:
    Imagine placing the figurines on the shelf one at a time.
    You have:
    • 8 choices for the first figurine
    • 7 choices for the second figurine
    • 6 choices for the third figurine
    • 5 choices for the fourth figurine
    • 4 choices for the fifth figurine
    • 3 choices for the sixth figurine
    • 2 choices for the seventh figurine
    • and 1 choice for the last (eighth) figurine
    So there are 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1 = 8! = 40320 different ways she can arrange the figurines.                            

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