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A professor has 7 books they are trying to arrange on a shelf. If the professor selects 3 books at a time, how many different arrangements of books can they come up with?

i got 210 but im not sure

Respuesta :

The number of different arrangements of books is 210

What is the formula for permutation?

Permutation in mathematics can be calculated by using the formula

nPr = [tex]\frac{n!}{(n - r)!} [/tex]

where

  • nPr = permutation required
  • n = total number of objects = 7
  • r = number of objects selected = 3

nPr = [tex]\frac{7!}{(7-3)!} [/tex]

nPr = [tex]\frac{5040}{24} [/tex]

nPr = 210

Therefore, the required number of ways is 210

learn more about permutations here https://brainly.com/question/112112

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