Practice Quiz

SAT Math

Category - Number and Operations

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How many ways can 4 students be chosen from 25 students to represent a class in a survey?
  1. 100
  2. 2,600
  3. 10,000
  4. 12,650
  5. 13,500
Explanation
Answer: D - There are 12,650 ways to choose 4 students from the group of 25. We choose 4 students from 25 students, where repeating is not allowed and order doesn’t matter. These are combinations, where r = 4 and n = 25.
n!/r!(n-r)! = 25!/4!(25-4)! = 25!/4!21! = (25×24×23×22)/(4×3×2) = 25×23×22 = 12,650
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