Solve the following problems involving permutations and combinations. Showyour solution.1. In how many ways can a president, vice-president, secretary and a treasurer beselected from the 15 JHS students?2. In how many ways can Nanay Luz arrange 8 potted plants in a row? 3. In how many ways can a committee of 6 senators be selected from a groupof 12 senators?4. If ice cream is served in a cup, in how many ways can Loujean choose herfive-flavor ice cream if there are 5 available flavors?

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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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1. Read and analyze the following problems. Write your solution on a sheet of paper. The coach of the winning basketball team chooses 3 of the 15 members to be interviewed by a sports reporter. In how many ways can the members to be interviewed be chosen? A poker hand consists of 5 cards chosen at random from a standard deck of cards. How many poker hands containing all face cards are possible? 2. 3. Suppose 7 female and 6 male applicants have been successfully screened for 5 positions. In how many ways can the following compositions be selected? a. 5 people regardless of gender b. 3 females and 2 males C. at least 3 females d. 4 females and 1 male e. 5 females 4. In a game of poker, a full house is a combination of 5 cards chosen from a standard deck of cards with three of a kind and two of a kind. How many full houses are possible?
COMBINATION 1. How many ways committees of four members can be formed from 10 architects? 2. In how many ways can a music store display four of their 10 best-selling records?
A team of six girls and five boys put together a 2,200-piece jigsaw puzzle in four hours. The same puzzle was put together in eight hours by a team of two girls and five boys. Are boys or girls more efficient at putting together jigsaws, and by what proportion is one gender better than the other?
Suppose I gave you a bag of M&M’s, but I didn’t let you see the original packaging so you can’t determine which plant made the M& M’s. Your job is to count the number of candies of each color in your bag and figure out which plant made your bag. What test should you do to determine this?
PART IV. Solve the following problems. You have eight books and are going to put four on a bookshelf. How many different ways can the books be ordered on the bookshelf? 1. You have seven books and are going to randomly select three to read. How many different combinations of books might you select?
In how many ways can Mrs. Smith give a chocolate bar, a bag of potato chips, and a can of cane juice to 3 of the 21 students in her class, one item per student?
There are 5 men and 8 women auditioning to be in the school play. Answer the following questions: 1. If the cast consists of 2 women and 2 men, how many different casts can be selected? 2. If the cast consists of 2 women or 2 men, how many different casts can be selected?
Analyze the given problem if it's permutation, combination, factorial or fundamental. Provide a clear solution.
The following day 5 more coffee samples are given to choose from. Customersare told that they can take 4 sweets samples from the 11 samples of sweets and2 coffee samples from the 5 coffee samples. How many different selections doesthe customer now make?
Explain your answer
PROBLEM SOLVING 1. You have 5 dogs that are all unique. You want to pick two, to be given to your younger cousin for her birthday. How many different combinations of dogs you can make from 5 dogs? 2. The class of Ms. Jina is composed of 10 males and 5 females. In how many ways can he fill the positions of president, vice president, secretary, treasurer, auditor, and business manager? 3. There are 10 defective light bulbs in a bin containing 25 light bulbs. In how many ways can you select at least 5 defective light bulbs when you choose 10 light bulbs at random?
A mother of 9 children bought 2 chocolate ice cream cones, 3 strawberry ice cream cones, and 4 vanilla ice cream cones. In how many ways can she distribute the cones among her children?

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Solve the following problems involving permutations and combinations. Show your solution. 1. In how many ways can a president, vice-president, secretary and a treasurer be selected from the 15 JHS students?