A group of 8 people, A, B, C, D, E, F, G, and H are visiting an amusement park. (a)The argument has gone beyond control; the park staff had to separate them. How many arrangements are there where no two members of the family are together? In other words, there is at least one other person between two members of the family in the line. (b) In the 8-man group, the adults are A, B, C, E, and F, and the minors are D, G, and H. There is a ride in the park that requires 3 adults and 2 minors to ride on it. How many combinations of people in this group are permitted to go on this ride?
A group of 8 people, A, B, C, D, E, F, G, and H are visiting an amusement park. (a)The argument has gone beyond control; the park staff had to separate them. How many arrangements are there where no two members of the family are together? In other words, there is at least one other person between two members of the family in the line. (b) In the 8-man group, the adults are A, B, C, E, and F, and the minors are D, G, and H. There is a ride in the park that requires 3 adults and 2 minors to ride on it. How many combinations of people in this group are permitted to go on this ride?
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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A group of 8 people, A, B, C, D, E, F, G, and H are visiting an amusement park.
(a)The argument has gone beyond control; the park staff had to separate them. How many
arrangements are there where no two members of the family are together? In other
words, there is at least one other person between two members of the family in the line.
(b) In the 8-man group, the adults are A, B, C, E, and F, and the minors are D, G, and H.
There is a ride in the park that requires 3 adults and 2 minors to ride on it. How many
combinations of people in this group are permitted to go on this ride?
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