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In a writing contest, 4 winners are chosen from 15 entries. If the winners are t

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Question: In a writing contest, 4 winners are chosen from 15 entries. If the winners are to be announced in a specific order, how many different arrangements of winners are possible?

Options:

  1. 360
  2. 840
  3. 1260
  4. 2100

Correct Answer: 1260

Solution: 

The number of arrangements is given by permutations: P(15, 4) = 15! / (15-4)! = 15 * 14 * 13 * 12 = 32760.

In a writing contest, 4 winners are chosen from 15 entries. If the winners are t

Practice Questions

Q1
In a writing contest, 4 winners are chosen from 15 entries. If the winners are to be announced in a specific order, how many different arrangements of winners are possible?
  1. 360
  2. 840
  3. 1260
  4. 2100

Questions & Step-by-Step Solutions

In a writing contest, 4 winners are chosen from 15 entries. If the winners are to be announced in a specific order, how many different arrangements of winners are possible?
  • Permutations – The arrangement of items in a specific order, where the order matters.
  • Factorials – The product of all positive integers up to a given number, used in calculating permutations.
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