(Show your solutions) From 5 statisticians and 6 economists, a committee of size 6 is to be formed. How many different committees can be formed if: a.) no restrictions are imposed? b.) 2 particular statisticians must be on the committee? c.) 1 particular economist cannot be on the committee? d) at least 3 statisticians and at least 1 economists must be on the committee? (upload your solution) Use the editor to format your answer Question 12 (Show your solutions) In how many ways can 3 boys and 3 girls be seated at a round table if a. without restriction b 2 particular people must not sit next to each other c. boys and girls are alternating (upload your solution) Use the editor to format your answer Question 13 (Show your solutions) (a) How many four-digit numbers can be formed from the digit 0, 1, 2, 3, 4,5, 6, 7, 8 ,9 if each digit can be used only once
(Show your solutions) From 5 statisticians and 6 economists, a committee of size 6 is to be formed. How many different committees can be formed if: a.) no restrictions are imposed? b.) 2 particular statisticians must be on the committee? c.) 1 particular economist cannot be on the committee? d) at least 3 statisticians and at least 1 economists must be on the committee? (upload your solution) Use the editor to format your answer Question 12 (Show your solutions) In how many ways can 3 boys and 3 girls be seated at a round table if a. without restriction b 2 particular people must not sit next to each other c. boys and girls are alternating (upload your solution) Use the editor to format your answer Question 13 (Show your solutions) (a) How many four-digit numbers can be formed from the digit 0, 1, 2, 3, 4,5, 6, 7, 8 ,9 if each digit can be used only once
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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Transcribed Image Text:(Show your solutions)
From 5 statisticians and 6 economists, a committee of size 6 is to be formed. How many different committees can be formed if:
a.) no restrictions are imposed?
b.) 2 particular statisticians must be on the committee?
c.) 1 particular economist cannot be on the committee?
d) at least 3 statisticians and at least 1 economists must be on the committee?
(upload your solution)
Use the editor to format your answer
Question 12
(Show your solutions)
In how many ways can 3 boys and 3 girls be seated at a round table if
a. without restriction
b 2 particular people must not sit next to each other
c. boys and girls are alternating
(upload your solution)
Use the editor to format your answer
Question 13
(Show your solutions)
(a) How many four-digit numbers can be formed from the digit 0, 1, 2, 3, 4,5, 6, 7, 8 ,9 if each digit can be used only once
(b) from part (a) How many of these are even numbers?
(C) from part (a) ,How many of these are greater than 3,500?
(upload your solution)
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