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

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
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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?
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Question 12
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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
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Question 13
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(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?
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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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