7. There are 10 red and 10 blue boxes in a cart. Determine the number of ways to arrange the 20 boxes on a shelf, so that all of the red boxes are next to each other.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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Hello! I need help with questions 7,8,9 and 10 please. Doesn’t have to be all of them but it would help :)
7. There are 10 red and 10 blue boxes in a cart.
Determine the number of ways to arrange the
20 boxes on a shelf, so that all of the red
boxes are next to each other.
8. There are 10 red and 10 blue boxes in a cart.
Determine the number of ways to arrange the
20 boxes on a shelf, so that their colors
alternate (adjacent box of a different color).
9. Determine the number of ways to arrange 20
math textbooks (no duplicates) on a shelf.
10. Tennis balls are randomly tossed into one of 4
trays. Determine the number of balls needed
to ensure that at least one of the trays has 10
balls.
Transcribed Image Text:7. There are 10 red and 10 blue boxes in a cart. Determine the number of ways to arrange the 20 boxes on a shelf, so that all of the red boxes are next to each other. 8. There are 10 red and 10 blue boxes in a cart. Determine the number of ways to arrange the 20 boxes on a shelf, so that their colors alternate (adjacent box of a different color). 9. Determine the number of ways to arrange 20 math textbooks (no duplicates) on a shelf. 10. Tennis balls are randomly tossed into one of 4 trays. Determine the number of balls needed to ensure that at least one of the trays has 10 balls.
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