Exam 5: Possibilities and Probabilities

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A group of investors wants to hire a team of 4 accountants and 2 financial planners. If the investors are considering 8 accountants and 5 financial planners:} -how many six-person teams can be hired under the given conditions?

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Two cards are drawn from a well-shuffled deck of 52 playing cards.} -What is the probability of getting two clubs?

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A woman who is furnishing her apartment is selecting a sofa, a lounge chair, and a bookcase. If she has five sofas, eight lounge chairs, and three bookcases to choose from, the number of ways that she can select the furniture is _______.

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A student is planning the music she will play at a party. If she has 15 record albums and wants to select 6 to play, in how many ways can she select the albums if she believes that: -the order of the records does not matter?

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The symbol (2013)\left(\begin{array}{l}20 \\ 13\end{array}\right) can be rewritten symbolically as _______.

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An accounting firm is selecting three accounts to audit out of a total of 11 accounts. The number of ways the firm can select the three accounts is given by 11⋅10⋅911 \cdot 10 \cdot 9 .

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Two cards are drawn from a well-shuffled deck of 52 playing cards.} -What is the probability of getting an ace and a king?

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The factorial notation for 7P7{ }_{7} P_{7} is _______.

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The number of six-letter words that can be formed from the word OBJECT is 6!

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The factorial notation for 8P5{ }_{8} P_{5} is _______.

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If 3 of 16 tax returns contain errors, and 7 of them are randomly chosen for audit, what is the probability that: -all three of the returns with errors are audited?

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There are six baseball teams in the American League's Eastern division. In how many ways can:} -three teams finish first, second, and third?

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Give the number of ways a student can mark her answers to a multiple choice test if there are 10 questions with four choices each for the first three questions and five choices each for the next seven questions.

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A balanced die is rolled. Find the probability of getting: -a value of at least two.

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A student is planning the music she will play at a party. If she has 15 record albums and wants to select 6 to play, in how many ways can she select the albums if she believes that: -the order of the records matter?

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A company employs 40 skilled and 30 unskilled workers. Twenty -five of the skilled workers and 17 of the unskilled are college graduates. If an employee of the company is selected at random, the probability that the person picked will not be a college graduate is

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Give the number of ways a student can mark her answers to a multiple choice test if there are eight questions with three choices each.

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The expression 11 ! is equal to 12!12\frac{12 !}{12} .

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The probability of selecting a face card in one draw of a card from an ordinary deck is _______.

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How many permutations are there of the letters in the word "distinction"?

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