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Brrunno [24]
3 years ago
14

Permutation question pictured! Thanks :)

Mathematics
1 answer:
lozanna [386]3 years ago
6 0

Answer:

3,160,080

Step-by-step explanation:

  • The first place can be taken by any one of the 22 students.
  • The second place can be taken by any one of the remaining 21 students.
  • The third place can be taken by any one of the remaining 20 students.
  • The fourth place can be taken by any one of the remaining 19 students.
  • The fifth place can be taken by any one of the remaining 18 students.

<em>This basically means multiplying 22, 21, 20, 19, and 18. Or, the number of permutation of 22 things taken 5 at a time.</em>

The answer is 22*21*20*19*18 = 3,160,080

<em>Using formula  nPr=\frac{n!}{(n-r)!}=\frac{22!}{(22-5)!}=\frac{22!}{17!}=(22*21*20*19*18)=3,160,080</em>

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In order to find the area, we need to know the length of the rectangle. We can find that using the perimeter formula.

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