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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

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

College Algebra
College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter9: Sequences, Probability And Counting Theory
Section9.5: Counting Principles
Problem 40SE: A family consisting of 2 parents and 3 children is to pose for a picture with 2 family members in...
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(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)
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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