Example 57.How many of these willIn how many ways can a foot ball team of 11 players selected from 15 players.(a) Include one particular player(b) Exclude one particular player.

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Answered: Example 57. How many of these will (a)…

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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10. A 5-card hand is dealt from a standard 52-card deck. How many ways (a) such hands are possible? (b) contain both a queen and a king? (c) contain 3 face cards and an 8? (d) contain only red cards?
alow.P many ways can they sit in a row if the boys and girls are each to sit together? (c) In how many ways can they sit in a row if just the girls are to sit together? 5. How many different signals, each consisting of 6 flags hung in a vertical line, can be formed from 4 identical red flags and 2 identical blue flags? In how many ways can a committee consisting of 3 men and 2 women be chosen from 7men and 5 women? alactod each vear from college to attend the National Student
(a) A company has 31 salespeople. A board member at the company asks for a list of the top 4 salespeople, ranked in order of effectiveness. How many such rankings are possible? (b) From the 13 albums released by a musician, the recording company wishes to release 10 in a boxed set. How many different boxed sets are possible
A standard deck of cards consists of 52 cards n each of the 4 suits: Spades, Diamonds, Hearts and Clubs. Each suit contains 13 cards: Ace, 2, 3, 4, 5, 6, 7, 8, 9, 10, Jack, Queen and King. A “hand" is a selection of 5 cards from the deck. Thus there are (5²) possible hands. Suppose three players are each dealt a hand of 5 cards each from a shuffled deck. What is the chance that the first player gets a royal flush (i.e 10-J-Q-K-A of the same suit)? What is the chance that at least one player obtains a royal flush?
2. In how many ways can a group of 6 women and 5 men line up for a photograph if no two adjacent people are of the same gender?
Question 8 A teacher must choose a group of 5 students from a class with 7 female and 8 male students. In how many ways can the group be chosen if (a) it should consist of three males and two females? (b) it should contain a majority of female students?
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Example 57. How many of these will (a) Include one particular player In how many ways can a foot ball team of 11 players selected from 15 players. (b) Exclude one particular player.