7. A computer programming team has 13 members.a. How many ways can a group of seven be cho-sen to work on a project?b. Suppose seven team members are women andsix are men.(1) How many groups of seven can be chosenthat contain four women and three men?(ii) How many groups of seven can be chosenthat contain at least one man?(iii) How many groups of seven can be chosenthat contain at most three women?

Given data A computer programing team has 13 members

Answered: 7. A computer programming team has 13…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Suppose there are 5 men and 8 women qualified to be members of a new committee of 6 people, includinga president, a vice-president, and a secretary.(a) How many different ways do you have to pick a president, vice-president and secretary if you need atleast 1 men and 1 women? Does the order matter? Why?(b) How many different committees can you form with at least 3 women? Does the order matter? Why?
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
An instructor gives an exam with twenty questions. Students are allowed to choose any fifteen questions to answer. (a) How many different choices of fifteen questions are there? (b) Suppose nine questions require coding and eleven do not. (i) How many groups of fifteen questions contain seven that require coding and eight that do not? (ii) How many groups of fifteen questions contain at most eight that require coding? (c) Suppose the exam instruction specifies that at most one of questions 1 and 2 MAY BE included among the fifteen. How many different choices of fifteen questions are there? (d) Suppose the exam instruction specifies that either both questions 1 and 2 are to be included among the ten or neither is to be included. How many different choices of ten questions are there?
d. [Permutation] Solve the following problems - Find the number of words that can be formed by using the letters of the word "DEMOCRACY" where first letter will be always C and last letter will be R. e. [Combination] A group of 15 students is to be formed from 44 students of MATI00 Course. Among the students of the course there is 2 renowned batsmen, 3 spinners, 2 fast blowlers and 2 wicketkeepers. How many different ways this can be done so as always to (i) include 1 renowned batsman, 1 fast bowler, 1 spinner and 1 wicketkeeper; and (ii) exclude spinners? 2.
A computer programming section has 11 members. A team of 5 is to be chosen to work on a special project. (a) How many ways can the team be chosen? (b) Suppose there are 6 men and 5 women in the section. How many teams of 5 have no women? How many teams of 5 have one woman ? How many teams of 5 have two women? How many teams of 5 have at most two women? (c) Two team members refuse to work together on projects. The teams must include one or neither of them. Now how many teams of 5 can be chosen to work on the project?
In a UC student club, a president and treasurer are to be chosen consisting of 45 people. a. How many different choices of officers are possible if there are no restrictions? b. How many different choices of officers are possible if A will serve only if he is president? c. How many different choices of officers are possible if B and C will serve together or not at all. d. How many different choices of officers are possible if D and E will not serve together?
2. I found some bingo cards in our classroom. A bingo card seems to have 5 rows and 5 columns. The center cell is blank, but the remaining cells each contain a number. No two cells contain the same number. In the first column, integers from 1 to 15 are used. In the 2nd column, integers from 16 to 30 are used, and so on. Thus, in the 5th column, integers from 61 to 75 are used. How many different bingo cards are there? Explain.

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