11.3. Calculating k-Permutations

Try these first

1. 1.

   How many different 2-permutations can be made from the set {1, 2, 3}?

   Hint

   Use the formula for k-permutations.

2. 2.

   What is P(4, 2)?

   Hint

   Calculate using 4! / (4-2)!

3. 3.

   What is the formula for calculating k-permutations?

   • P(n
   • k) = n! / (n-k)!
   • P(n
   • k) = n! / k!
   • P(n
   • k) = k! / n!

   Hint

   Remember how factorial impacts the arrangement.

4. 4.

   T/F: Repetitions are allowed in permutations?

   • True
   • False

   Hint

   Consider example scenarios involving elements repeatedly arranged.

5. 5.

   You are organizing a race with 5 racers. How many different finishing orders are possible?

   Hint

   Remember to apply the formula for full arrangements.

6. 6.

   If you draw 4 balls from an urn containing 10 different colored balls, how many different arrangements can you make?

   Hint

   Identify how many you are arranging against the total available.