1-23. How many ways are there to select 3 candidates from 8 equally qualified recent graduates for openings in an accounting firm? 1-24. In how many ways can 5 different trees be planted in a circle?

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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1-21. If a multiple-choice test consists of 5 questions,
each with 4 possible answers of which only 1 is cor-
rect,
a) in how many different ways can a student check
off one answer to each question?
b) in how many ways can a student check off one
answer to each question and get all the answers
wrong?
1-22. Find the number of ways that 6 teachers can
be assigned to 4 sections of an introductory psychol-
ogy course if no teacher is assigned to more than one
section.
1-23. How many ways are there to select 3 candidates
from 8 equally qualified recent graduates for openings
in an accounting firm?
1-24. In how many ways can 5 different trees be
planted in a circle?
1-25. A contractor wishes to build 9 houses, each dif-
ferent in design. In how many ways can he place these
houses on a street if 6 lots are on one side of the street
and 3 lots are on the opposite side?
1-26. How many bridge hands (consisting of 13
cards) are possible containing 4 spades, 6 diamonds,
1 club and 2 hearts?
1-27. The following circuit operates if and only if
there is a path of functional devices from left to right.
Let the event/outcome {ABcDe} denote that devices
1, 2 and 4 are functional (uppercase A, B and D re-
spectively) and devices 3 and 5 are not functional
(lowercase c and e, respectively).
1
2
3
4
a) Enumerate the outcomes of the sample space con-
sisting of all possible combinations of the five de-
vices.
b) How many of those outcomes have the circuit op-
erational?
c) How many of those outcomes render the circuit
not functional?
Transcribed Image Text:1-21. If a multiple-choice test consists of 5 questions, each with 4 possible answers of which only 1 is cor- rect, a) in how many different ways can a student check off one answer to each question? b) in how many ways can a student check off one answer to each question and get all the answers wrong? 1-22. Find the number of ways that 6 teachers can be assigned to 4 sections of an introductory psychol- ogy course if no teacher is assigned to more than one section. 1-23. How many ways are there to select 3 candidates from 8 equally qualified recent graduates for openings in an accounting firm? 1-24. In how many ways can 5 different trees be planted in a circle? 1-25. A contractor wishes to build 9 houses, each dif- ferent in design. In how many ways can he place these houses on a street if 6 lots are on one side of the street and 3 lots are on the opposite side? 1-26. How many bridge hands (consisting of 13 cards) are possible containing 4 spades, 6 diamonds, 1 club and 2 hearts? 1-27. The following circuit operates if and only if there is a path of functional devices from left to right. Let the event/outcome {ABcDe} denote that devices 1, 2 and 4 are functional (uppercase A, B and D re- spectively) and devices 3 and 5 are not functional (lowercase c and e, respectively). 1 2 3 4 a) Enumerate the outcomes of the sample space con- sisting of all possible combinations of the five de- vices. b) How many of those outcomes have the circuit op- erational? c) How many of those outcomes render the circuit not functional?
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