Tell whether permutations or combinations are being described.
-10 pageant contestants are selected to be given awards and titles, the first being the winner, the second being the first runner-up, the third being the second runner-up, and so forth.
Solve the problem.
-Cal is packing his suitcase to go on a trip. He wants to pack 4 pairs of pants chosen from the 6 pairs of pants in his closet and 3 shirts chosen from the 10 shirts in his closet. In how many ways can this be done?
Write the word or phrase that best completes each statement or answers the question.
Use mathematical induction to prove the statement is true for all positive integers n.
-6 + 12 + 18 + ... + 6n = 3n(n + 1)