1) How many different seven-digit phone numbers can be formed? a) 604800 b) 120 c) none of these d) 10,000,000 e) 3628800 2) How many different five-character passwords can be formed from the lowercase letters of the alphabet if repetition is not allowed? a) 7,893,600 b) 11,881,376 c) none of these d) 65780 e) 4.03x1026 3) A city council with nine members must appoint a leadership team consisting of a mayor, treasurer, and secretary. How many teams are possible? a) 504 b) 729 c) none of these d) 84 e) 362,880 4) How many anagrams (rearrangements) of the letters ILOVEMATH can you make? a) 1,000,000,000 b) none of these c) 362880 5) In a family with six children, how many birth orders are possible that are different with respect to gender (boy or girl)? a) 64 b) 15 c) 30 d) none of these

Counting and Probability

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