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7 votes
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

2 Answers

9 votes
  • Total figurines=8

Total ways for n object is n!

Total ways

  • 8!
  • 8×7×6×5×4×3×2×1
  • 40320ways
User Albatross
by
3.4k points
1 vote

Answer:

40320

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.

User Sidara KEO
by
3.7k points