Question 5.446

20. State Lottery. In a state lottery, balls numbered 1 to 20 are placed in an urn. To win, you must choose numbers that match the three balls chosen in the order that they're chosen.

  1. Explain whether a permutation or a combination is being used.
  2. How many possible outcomes are there?
  3. Find the probability of winning this lottery if your ticket contains a single ordering of three numbers.