Note: In this problem set, the notation C(n, k) is used for the combination "n choose k." Alternate notation: ( ) For the problems in this section, decide whether to use permutations or combinations. 9.) (a) A password consists of 6 letters followed by a single digit. How many distinct passwords are possible? (b) How many such passwords are possible if there is no repetition of letters?

Note: In this problem set, the notation C(n, k) is used for the combination "n choose k." Alternate notation: ( ) For the problems in this section, decide whether to use permutations or combinations. 9.) (a) A password consists of 6 letters followed by a single digit. How many distinct passwords are possible? (b) How many such passwords are possible if there is no repetition of letters?

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Suppose you are working at the State Department and to enter secure facilities requires a password. You create an 8 character password made up of 5 letters (A-Z) and 3 numbers (0-9). No letter or number can be repeated. How many different passwords are possible? a. 1,957,524,000 b. None of these c. 11,881,376,000 d. 5,683,392,000 e. 824,332,000
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Note: In this problem set, the notation C(n, k) is used for the combination "n choose k." Alternate notation: ( ) 2.) (a) In how many ways can a hand of 6 hearts be chosen from an ordinary deck? (b) In how many ways can a hand of 6 black cards be chosen from an ordinary deck?
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Note: In this problem set, the notation C(n, k) is used for the combination "n choose k." Alternate notation: ( ) 17.) A hand of 5 cards is dealt in a poker game. How many poker hands are possible with: (a) exactly 3 Jacks? (b) only one color (red or black)? (c) a full house (3 of one kind of card and 2 of another)?
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