4-81. Eddie told Alfred, "I'll bet if I flip three coins I can get exactly two heads." Alfred replied, "I'll bet I can get exactly two heads if I flip four coins!" Eddie scoffed, "Well, so what? That's easier." Alfred argued, "No, it's not. It's harder." Who is correct? Show all of your work and be prepared to defend your conclusion.
Permutations and Combinations
If there are 5 dishes, they can be relished in any order at a time. In permutation, it should be in a particular order. In combination, the order does not matter. Take 3 letters a, b, and c. The possible ways of pairing any two letters are ab, bc, ac, ba, cb and ca. It is in a particular order. So, this can be called the permutation of a, b, and c. But if the order does not matter then ab is the same as ba. Similarly, bc is the same as cb and ac is the same as ca. Here the list has ab, bc, and ac alone. This can be called the combination of a, b, and c.
Counting Theory
The fundamental counting principle is a rule that is used to count the total number of possible outcomes in a given situation.
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4.2.3 Homework
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4-81. Eddie told Alfred, "I'll bet if I flip three coins I can get exactly two heads." Alfred
replied, "I'll bet I can get exactly two heads if I flip four coins!" Eddie scoffed, "Well, so
what? That's easier." Alfred argued, "No, it's not. It's harder." Who is correct? Show all of
your work and be prepared to defend your conclusion.
4-82. Write the equation of the line (y = mx + b) with a slope of that goes through the point
(0, 9).
4-83. An airplane takes off and climbs at an angle of 11°. If the plane must
fly over a 120-foot tower with at leást 50 feet of clearance, what is the
minimum distance between the point where the plane leaves the ground
and the base of the tower?
[a] Draw and label a diagram for this situation.
[b] What is the minimum distance between the point where the plane leaves the ground
and the tower? Explain completely.
4-84. Solve each equation below for the given variable. Show all work & check your answer.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3a394efc-9af6-4169-bb26-2d70c01b621b%2F6bf4b65c-4429-4af4-a0af-b88b057840b0%2Fs1w0h9a_processed.jpeg&w=3840&q=75)
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