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Recent questions tagged discrete-mathematics

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391
Kenneth Rosen Edition 7 Exercise 6.5 Question 42 (Page No. 433)
In bridge, the $52$ cards of a standard deck are dealt to four players. How many different ways are there to deal bridge hands to four players?
In bridge, the $52$ cards of a standard deck are dealt to four players. How many different ways are there to deal bridge hands to four players?
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392
Kenneth Rosen Edition 7 Exercise 6.5 Question 41 (Page No. 433)
How many ways are there to deal hands of seven cards to each of five players from a standard deck of $52$ cards?
How many ways are there to deal hands of seven cards to each of five players from a standard deck of $52$ cards?
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393
Kenneth Rosen Edition 7 Exercise 6.5 Question 40 (Page No. 433)
How many ways are there to travel in $xyzw$ space from the origin $(0, 0, 0, 0)$ to the point $(4, 3, 5, 4)$ by taking steps one unit in the positive $x,$ positive $y,$ positive $z,$ or positive $w$ direction?
How many ways are there to travel in $xyzw$ space from the origin $(0, 0, 0, 0)$ to the point $(4, 3, 5, 4)$ by taking steps one unit in the positive $x,$ positive $y,$ p...
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396
Kenneth Rosen Edition 7 Exercise 6.5 Question 37 (Page No. 433)
A student has three mangos, two papayas, and two kiwi fruits. If the student eats one piece of fruit each day, and only the type of fruit matters, in how many different ways can these fruits be consumed?
A student has three mangos, two papayas, and two kiwi fruits. If the student eats one piece of fruit each day, and only the type of fruit matters, in how many different w...
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400
Kenneth Rosen Edition 7 Exercise 6.5 Question 33 (Page No. 433)
How many different strings can be made from the letters in $\text{ORONO},$ using some or all of the letters?
How many different strings can be made from the letters in $\text{ORONO},$ using some or all of the letters?
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401
Kenneth Rosen Edition 7 Exercise 6.5 Question 32 (Page No. 433)
How many different strings can be made from the letters in $\text{AARDVARK},$ using all the letters, if all three $As$ must be consecutive?
How many different strings can be made from the letters in $\text{AARDVARK},$ using all the letters, if all three $As$ must be consecutive?
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402
Kenneth Rosen Edition 7 Exercise 6.5 Question 31 (Page No. 433)
How many different strings can be made from the letters in $\text{ABRACADABRA,}$ using all the letters?
How many different strings can be made from the letters in $\text{ABRACADABRA,}$ using all the letters?
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403
Kenneth Rosen Edition 7 Exercise 6.5 Question 30 (Page No. 433)
How many different strings can be made from the letters in $\text{MISSISSIPPI},$ using all the letters?
How many different strings can be made from the letters in $\text{MISSISSIPPI},$ using all the letters?
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1 votes
1 answer
406
Kenneth Rosen Edition 7 Exercise 6.5 Question 27 (Page No. 433)
There are $10$ questions on a discrete mathematics final exam. How many ways are there to assign scores to the problems if the sum of the scores is $100$ and each question is worth at least $5$ points?
There are $10$ questions on a discrete mathematics final exam. How many ways are there to assign scores to the problems if the sum of the scores is $100$ and each questio...
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407
Kenneth Rosen Edition 7 Exercise 6.5 Question 26 (Page No. 433)
How many positive integers less than $1,000,000$ have exactly one digit equal to $9$ and have a sum of digits equal to $13?$
How many positive integers less than $1,000,000$ have exactly one digit equal to $9$ and have a sum of digits equal to $13?$
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1 votes
2 answers
409
Kenneth Rosen Edition 7 Exercise 6.5 Question 24 (Page No. 432)
How many ways are there to distribute $15$ distinguishable objects into five distinguishable boxes so that the boxes have one, two, three, four, and five objects in them, respectively.
How many ways are there to distribute $15$ distinguishable objects into five distinguishable boxes so that the boxes have one, two, three, four, and five objects in them,...
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410
Kenneth Rosen Edition 7 Exercise 6.5 Question 23 (Page No. 432)
How many ways are there to distribute $12$ distinguishable objects into six distinguishable boxes so that two objects are placed in each box?
How many ways are there to distribute $12$ distinguishable objects into six distinguishable boxes so that two objects are placed in each box?
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412
Kenneth Rosen Edition 7 Exercise 6.5 Question 21 (Page No. 432)
How many ways are there to distribute six indistinguishable balls into nine distinguishable bins?
How many ways are there to distribute six indistinguishable balls into nine distinguishable bins?
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415
Kenneth Rosen Edition 7 Exercise 6.5 Question 18 (Page No. 432)
How many strings of $20$-decimal digits are there that contain two $0s,$ four $1s,$ three $2s,$ one $3,$ two $4s,$ three $5s,$ two $7s,$ and three $9s?$
How many strings of $20$-decimal digits are there that contain two $0s,$ four $1s,$ three $2s,$ one $3,$ two $4s,$ three $5s,$ two $7s,$ and three $9s?$
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416
Kenneth Rosen Edition 7 Exercise 6.5 Question 17 (Page No. 432)
How many strings of $10$ ternary digits $(0, 1,\:\text{or}\: 2)$ are there that contain exactly two $0s,$ three $1s,$ and five $2s?$
How many strings of $10$ ternary digits $(0, 1,\:\text{or}\: 2)$ are there that contain exactly two $0s,$ three $1s,$ and five $2s?$
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1 votes
1 answer
419
Kenneth Rosen Edition 7 Exercise 6.5 Question 14 (Page No. 432)
How many solutions are there to the equation $x_{1} + x_{2} + x_{3} + x_{4} = 17,$ where $x_{1}, x_{2}, x_{3},\:\text{and}\: x_{4}$ are nonnegative integers?
How many solutions are there to the equation $x_{1} + x_{2} + x_{3} + x_{4} = 17,$ where $x_{1}, x_{2}, x_{3},\:\text{and}\: x_{4}$ are nonnegative integers?
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2 votes
1 answer
420
Kenneth Rosen Edition 7 Exercise 6.5 Question 13 (Page No. 432)
A book publisher has $3000$ copies of a discrete mathematics book. How many ways are there to store these books in their three warehouses if the copies of the book are indistinguishable?
A book publisher has $3000$ copies of a discrete mathematics book. How many ways are there to store these books in their three warehouses if the copies of the book are in...
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