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Kenneth Rosen Edition 7 Exercise 6.3 Question 9 (Page No. 413)
How many possibilities are there for the win, place, and show (first, second, and third) positions in a horse race with $12$ horses if all orders of finish are possible?
How many possibilities are there for the win, place, and show (first, second, and third) positions in a horse race with $12$ horses if all orders of finish are possible?
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Kenneth Rosen Edition 7 Exercise 6.3 Question 5 (Page No. 413)
Find the value of each of these quantities. $P (6, 3)$ $P (6, 5)$ $P (8, 1)$ $P (8, 5)$ $P (8, 8)$ $P (10, 9)$
Find the value of each of these quantities.$P (6, 3)$$P (6, 5)$$P (8, 1)$$P (8, 5)$$P (8, 8)$$P (10, 9)$
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Kenneth Rosen Edition 7 Exercise 6.3 Question 4 (Page No. 413)
Let $S = \{1, 2, 3, 4, 5\}.$ List all the $3$-permutations of $S$. List all the $3$-combinations of $S.$
Let $S = \{1, 2, 3, 4, 5\}.$List all the $3$-permutations of $S$.List all the $3$-combinations of $S.$
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Kenneth Rosen Edition 7 Exercise 6.2 Question 40 (Page No. 406)
Prove that at a party where there are at least two people, there are two people who know the same number of other people there.
Prove that at a party where there are at least two people, there are two people who know the same number of other people there.
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Kenneth Rosen Edition 7 Exercise 6.2 Question 21 (Page No. 406)
Construct a sequence of $16$ positive integers that has no increasing or decreasing subsequence of five terms.
Construct a sequence of $16$ positive integers that has no increasing or decreasing subsequence of five terms.
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3258
Kenneth Rosen Edition 7 Exercise 6.2 Question 16 (Page No. 405)
How many numbers must be selected from the set $\{1, 3, 5, 7, 9, 11, 13, 15\}$ to guarantee that at least one pair of these numbers add up to $16?$
How many numbers must be selected from the set $\{1, 3, 5, 7, 9, 11, 13, 15\}$ to guarantee that at least one pair of these numbers add up to $16?$
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3259
Kenneth Rosen Edition 7 Exercise 6.2 Question 15 (Page No. 405)
How many numbers must be selected from the set $\{1, 2, 3, 4, 5, 6\}$ to guarantee that at least one pair of these numbers add up to $7?$
How many numbers must be selected from the set $\{1, 2, 3, 4, 5, 6\}$ to guarantee that at least one pair of these numbers add up to $7?$
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