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You are choosing 3 of your 8 trophies and arranging them in a row on a shelf.
In how many different ways can you choose and arrange the trophies?
O A. 56
O B. 40,320
O C. 24
O D. 336

Respuesta :

konrad509

[tex]{_8C_3}\cdot 3!=\dfrac{8!}{3!5!}\cdot 6=\dfrac{6\cdot 7\cdot 8}{6}\cdot6=336[/tex]

khuranashilpa76

There are 336 ways we can choose and arrange the trophies.

The answer is option D. 336

What are permutation and combination?

  • A permutation is a mathematical way that determines the number of possible arrangements in a set.
  • In a permutation, the elements are arranged in a specific order.
  • A combination is a method that determines the number of possible arrangements in a set.
  • In a combination, the elements of the set can be arranged in any order.

calculation:-

   ₃C⁸.3! = 8!/3!5!.6 = (6.7.8)/6.6 = 336

Learn more about permutation combinations here:-https://brainly.com/question/4658834

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