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Recent questions tagged kenneth-rosen

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214
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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215
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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216
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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217
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
220
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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221
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
223
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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224
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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226
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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229
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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230
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
233
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
234
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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235
Kenneth Rosen Edition 7 Exercise 6.5 Question 12 (Page No. 432)
How many different combinations of pennies, nickels, dimes, quarters, and half dollars can a piggy bank contain if it has $20$ coins in it?
How many different combinations of pennies, nickels, dimes, quarters, and half dollars can a piggy bank contain if it has $20$ coins in it?
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1 answer
236
Kenneth Rosen Edition 7 Exercise 6.5 Question 11 (Page No. 432)
How many ways are there to choose eight coins from a piggy bank containing $100$ identical pennies and $80$ identical nickels?
How many ways are there to choose eight coins from a piggy bank containing $100$ identical pennies and $80$ identical nickels?
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1 answer
239
Kenneth Rosen Edition 7 Exercise 6.5 Question 8 (Page No. 432)
How many different ways are there to choose a dozen donuts from the $21$ varieties at a donut shop?
How many different ways are there to choose a dozen donuts from the $21$ varieties at a donut shop?
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0 votes
2 answers
240
Kenneth Rosen Edition 7 Exercise 6.5 Question 7 (Page No. 432)
How many ways are there to select three unordered elements from a set with five elements when repetition is allowed?
How many ways are there to select three unordered elements from a set with five elements when repetition is allowed?
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