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Determine whether each situation involves a permutation or a combination. Then determine the number of possible arrangements.

6. Six students in a class meet in a room that has nine chairs.

7. The top four finishers in a race with ten participants.

8. A class has 15 girls and 19 boys. A committee is formed with two girls and two boys, each with a separate responsibility.



Answer :

GinnyAnswer

Final answer:

The response explains the concepts of permutation and combination in three different scenarios involving students and committees.


Explanation:

Permutation vs. Combination:

  1. Six students in a class meet in a room with nine chairs is a permutation as the order matters. The number of arrangements is 9P6.
  2. The top four finishers in a race with ten participants is a permutation as the order of finish matters. The number of arrangements is 10P4.
  3. A committee with two girls and two boys from a class of 15 girls and 19 boys is a combination as the order doesn't matter. The number of arrangements is 15C2 * 19C2.

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