Example 60.following conditions. Govind will not play if Rama is selected but Rama will play only ifKrishna is also selected. In how many ways can the team be selected?A football team of 11 has to be selected out of 14 players satisfying the

Answered: Image /qna-images/answer/217db2ad-c405-4b64-8a61-3aafac2fd311.jpg

Answered: Example 60. following conditions.…

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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You have 20 pennies, 30 nickels, and 40 dimes. Assume that the pennies are identical, the nickels are identical, and the dimes are identical. In how many ways can you put all the coins in a row?
With a short time remaining in the day, a delivery driver has time to make deliveries at 4 locations among the 6 locations remaining. How many different routes are possible? There are possible different routes. (Simplify your answer.)
A carnival game has 160 rubber ducks floating in a pool. The person playing the game takes out one duck and looks at it. If there's a red mark on the bottom of the duck, the person wins a small prize. If there's a blue mark on the bottom of the duck, the person wins a large prize. Many ducks do not have a mark. After 50 people have played the game, only 3 of them have won a small prize, and none of them have won a large prize. Estimate the number of the 160 ducks that you think have red marks on the bottom. Then estimate the number of ducks you think have blue marks. Explain your reasoning.
At an awards ceremony, six women and five men are each to receive an award and are to be presented with their award one at a time. Two of the awards are to be first given to two of the women, and then the remaining awards will alternate between men and women. How many ways can this be done? possibilities
Suppose Fred has 2 pairs of pants (blue and black) and 3 shirts (red, blue, and black). Which of the following represents all of the outfits Fred could make with these options?
A bag contains five red marbles, three green ones, one lavender one, three yellows, and two orange marbles. HINT [See Example 7.] How many sets of four marbles include none of the red ones?
A bagel shop has a selection of 8 different kinds of bagels (at least 10 of each). (.1) How many different selections of 10 bagels can be made? ( .2) If garlic is one kind of available bagel and onion is another, how many different selections of 10 bagels can you make so that you have at least 3 onion bagels and exactly 2 garlic bagels?
With a short time remaining in the day, a delivery driver has time to make deliveries at 7 locations among the 8 locations remaining. How many different routes are possible? There are possible different routes. (Simplify your answer.)
The Venn diagram below shows the number of students in Mrs. Crane's homeroom who were on Honor Roll, taking advanced classes or had perfect attendance for the first quarter. Honor Roll Advanced Classes 2 5 3 2 4 4 Perfect Attendance How many students are taking advanced classes and on Honor Roll, but did not have perfect attendance?
In a competition, two people will be selected from four finalists to receive the first and second prizes. The prize winners will be selected by drawing names from a hat. The names of the four finalists are Anne, Ben, Collin, and Daisy. The possible outcomes can be represented as follows. АВ, АС, AD, BC, BD, CD, ВА, СА, DA, CВ, DB, DC Here, for example, AD represents the outcome that Anne receives the first prize and Daisy receives the second prize. Let = event that Collin gets first prize Y = event that Daisy gets a prize Z= event that both price winners are boys.
A comedian knows eight jokes, three are about the weather and five are about sports. In how many ways can people select their favorite joke about the weather and their two favorites jokes about sports? There are ________ different ways can people select their favorite jokes.

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Example 60. following conditions. Govind will not play if Rama is selected but Rama will play only if Krishna is also selected. In how many ways can the team be selected? A football team of 11 has to be selected out of 14 players satisfying the