With reference to Exercise 1, suppose that there is athird step, and if the first step is made in the ith way andthe second step in the jth way, the third step can be madein n3ij ways.(a) Use a tree diagram to verify that the whole operationcan be made in n1i=1n2ij=1n3ij different ways. (b) With reference to part (b) of Exercise 1, use the for-mula of part (a) to verify that there are 32 ways in which the student can study at most 4 hours for the test on threeconsecutive days.
With reference to Exercise 1, suppose that there is athird step, and if the first step is made in the ith way andthe second step in the jth way, the third step can be madein n3ij ways.(a) Use a tree diagram to verify that the whole operationcan be made in n1i=1n2ij=1n3ij different ways. (b) With reference to part (b) of Exercise 1, use the for-mula of part (a) to verify that there are 32 ways in which the student can study at most 4 hours for the test on threeconsecutive days.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Question
With reference to Exercise 1, suppose that there is a
third step, and if the first step is made in the ith way and
the second step in the jth way, the third step can be made
in n3ij ways.
(a) Use a tree diagram to verify that the whole operation
can be made in
n1
i=1
n2i
j=1
n3ij
i=1
n2i
j=1
n3ij
different ways.
(b) With reference to part (b) of Exercise 1, use the for-
mula of part (a) to verify that there are 32 ways in which
mula of part (a) to verify that there are 32 ways in which
the student can study at most 4 hours for the test on three
consecutive days.
consecutive days.
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