Question 9 The diagram shows the seating plan for passengers in a minibus, which has 17 seats arranged in 4 rows. The back row has 5 seats and the other 3 rows have 2 seats on each side. 11 passengers get on the minibus. (i) 4.94 x 10!! Back (ii) 79833 600 Front (iii) 21 (i) How many possible seating arrangements are there for the 11 passengers? (ii) How many possible seating arrangements are there if 5 particular people sit in the back row? Of the 11 passengers, 5 are unmarried and the other 6 consist of 3 married couples. (iii) In how many ways can 5 of the 11 passengers on the bus be chosen if there must be 2 married couples and 1 other person, who may or may not be married?

College Algebra
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ISBN:9781938168383
Author:Jay Abramson
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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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Question 9
The diagram shows the seating plan for passengers in a minibus, which has
17 seats arranged in 4 rows. The back row has 5 seats and the other 3 rows
have 2 seats on each side. 11 passengers get on the minibus.
(i) 4.94 x 10!1
Back
(ii) 79833 600
Front
BI
(iii) 21
(i) How many possible seating arrangements are there for the 11 passengers?
(ii) How many possible seating arrangements are there if 5 particular people
sit in the back row?
Of the 11 passengers, 5 are unmarried and the other 6 consist of 3 married
couples.
(iii) In how many ways can 5 of the 11 passengers on the bus be chosen if
there must be 2 married couples and 1 other person, who may or may
not be married?
Transcribed Image Text:Question 9 The diagram shows the seating plan for passengers in a minibus, which has 17 seats arranged in 4 rows. The back row has 5 seats and the other 3 rows have 2 seats on each side. 11 passengers get on the minibus. (i) 4.94 x 10!1 Back (ii) 79833 600 Front BI (iii) 21 (i) How many possible seating arrangements are there for the 11 passengers? (ii) How many possible seating arrangements are there if 5 particular people sit in the back row? Of the 11 passengers, 5 are unmarried and the other 6 consist of 3 married couples. (iii) In how many ways can 5 of the 11 passengers on the bus be chosen if there must be 2 married couples and 1 other person, who may or may not be married?
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