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Mathematics

Math 104 Alegbra Applications

Evaluate the expression.
110P1
Evaluate the expression.
2P0
Evaluate the expression.
14P2
Evaluate the expression.
8Pr
How many permutations are there of the following word?
COMBINATORICS
permutations
In how many ways can a chairperson and a vice chairperson be selected from a committee of 25
senators?
ways
Tarot cards are used for telling fortunes, and in a reading, the arrangement of the cards is as important
as the cards themselves. How many different readings are possible if five cards are selected from a set
of nine Tarot cards?
readings
Evaluate the expression.
(9 over 6)
Evaluate the expression.
(4 over 3)
Evaluate the expression.
(8 over 5), (6 over 4), (4 over 1)
Decide whether you would use a permutation, a combination, or neither. Next, write the solution using
permutation notation or combination notation, if possible, and, finally, answer the question.
A club with 26 members is to select five officers (president, vice president, secretary, treasurer, and
historian). In how many ways can this be done?
ways
Decide whether you would use a permutation, a combination, or neither. Next, write the solution using
permutation notation or combination notation, if possible, and, finally, answer the question.
In how many ways can seven books be arranged on a bookshelf?
ways
A state's license plates consist of four letters followed by three numerals, and 241 letter arrangements
are not allowed. How many plates can the state issue?
plates
A certain lock has four tumblers, and each tumbler can assume seven positions. How many different
possibilities are there?
possibilities
Classify the problem as a permutation, a combination, or neither.
A student is asked to answer 13 out of 15 questions on an exam. In how many ways can she
select the questions to be answered? (Order is not important.)
permutation
combination
Answer the given question.
ways
neither
...

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