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Recent questions tagged goclasses_wq13
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GO Classes Weekly Quiz 13 | Discrete Mathematics | Combinatorics | Question: 2
A set of cards is numbered $1$ through $6.$ Quantity A: The number of ways to pick $3$ of the $6$ cards such that card number $1$ ... Quantity B is greater than Quantity A. The two quantities are equal. The relationship cannot be determined from the information given.
A set of cards is numbered $1$ through $6.$Quantity A: The number of ways to pick $3$ of the $6$ cards such that card number $1$ is included.Quantity B: The number of way...
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Combinatory
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4
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GO Classes Weekly Quiz 13 | Discrete Mathematics | Combinatorics | Question: 3
Consider the following two combinatorial identities: For all $\mathrm{k}, \mathrm{n} \in \mathrm{N}$ with $\mathrm{k} \leq \mathrm{n}$ ... $1$ Only $2$ Both None
Consider the following two combinatorial identities:For all $\mathrm{k}, \mathrm{n} \in \mathrm{N}$ with $\mathrm{k} \leq \mathrm{n}$,$$\left(\begin{array}{l} n \\ 2 \end...
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Jun 14, 2022
Combinatory
goclasses_wq13
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4
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GO Classes Weekly Quiz 13 | Discrete Mathematics | Combinatorics | Question: 4
We go to a pizza party, and there are $5$ types of pizza. We have been starving for days, so we can eat $13$ slices, but we want to sample each type at least once. In how many ways can we do this? Order does not matter.
We go to a pizza party, and there are $5$ types of pizza. We have been starving for days, so we can eat $13$ slices, but we want to sample each type at least once. In how...
GO Classes
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Jun 14, 2022
Combinatory
goclasses_wq13
numerical-answers
goclasses
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counting
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3
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GO Classes Weekly Quiz 13 | Discrete Mathematics | Combinatorics | Question: 5
How many integer solutions does the equation $ x_{1}+x_{2}+x_{3}+x_{4}=15 $ have, if we require that $x_{1} \geq 2, x_{2} \geq 3, x_{3} \geq 10$ and $x_{4} \geq-3 ?$
How many integer solutions does the equation$$x_{1}+x_{2}+x_{3}+x_{4}=15$$have, if we require that $x_{1} \geq 2, x_{2} \geq 3, x_{3} \geq 10$ and $x_{4} \geq-3 ?$
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Jun 14, 2022
Combinatory
goclasses_wq13
numerical-answers
goclasses
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5
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GO Classes Weekly Quiz 13 | Discrete Mathematics | Combinatorics | Question: 6
How many integer solutions are there to the system of inequalities $ x_{1}+x_{2}+x_{3}+x_{4} \leq 15, \quad x_{1}, \ldots, x_{4} \geq 0 ? $
How many integer solutions are there to the system of inequalities$$x_{1}+x_{2}+x_{3}+x_{4} \leq 15, \quad x_{1}, \ldots, x_{4} \geq 0 ?$$
GO Classes
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Jun 14, 2022
Combinatory
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6
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3
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GO Classes Weekly Quiz 13 | Discrete Mathematics | Combinatorics | Question: 7
We want those bit strings of length $10$ which Start and end with the symbol $1.$ No two zeroes are consecutive. How many such bit strings are there?
We want those bit strings of length $10$ whichStart and end with the symbol $1.$No two zeroes are consecutive.How many such bit strings are there?
GO Classes
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Jun 14, 2022
Combinatory
goclasses_wq13
numerical-answers
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3
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7
GO Classes Weekly Quiz 13 | Discrete Mathematics | Combinatorics | Question: 8
How many ways are there to split a dozen people into $3$ teams, where one team has $2$ people, and the other two teams have $5$ people each?
How many ways are there to split a dozen people into $3$ teams, where one team has $2$ people, and the other two teams have $5$ people each?
GO Classes
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Combinatory
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numerical-answers
goclasses
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8
GO Classes Weekly Quiz 13 | Discrete Mathematics | Combinatorics | Question: 10
In how many rearrangements of the letters of the word SCINTILLATING will no two 'I's appear together? ${ }^{11} \mathrm{C}_{3} * 13!$ $\frac{10 !}{2 ! * 2 ! * 2 !}$ ${ }^{11} \mathrm{C}_{3} * 3 ! * 10 !$ ${ }^{11} \mathrm{C}_{3} \frac{10 !}{2 ! * 2 ! * 2 !}$
In how many rearrangements of the letters of the word SCINTILLATING will no two 'I's appear together?${ }^{11} \mathrm{C}_{3} * 13!$$\frac{10 !}{2 ! * 2 ! * 2 !}$${ }^{11...
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Jun 14, 2022
Combinatory
goclasses_wq13
goclasses
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3
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2
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GO Classes Weekly Quiz 13 | Discrete Mathematics | Combinatorics | Question: 11
How many squares are there in a chess board? $64$ $204$ $1296$ $4096$
How many squares are there in a chess board?$64$$204$$1296$$4096$
GO Classes
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Jun 14, 2022
Combinatory
goclasses_wq13
goclasses
combinatory
counting
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2
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10
GO Classes Weekly Quiz 13 | Discrete Mathematics | Combinatorics | Question: 12
How many rectangles are there in a chess board?
How many rectangles are there in a chess board?
GO Classes
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Jun 14, 2022
Combinatory
goclasses_wq13
numerical-answers
goclasses
combinatory
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GO Classes Weekly Quiz 13 | Discrete Mathematics | Combinatorics | Question: 13
For which of the following events will the number of outcomes exceed $50?$(Indicate all such events.) The number of outcomes in which at least three heads appear in $6$ consecutive tosses of a fair ... of outcomes in which all the vowels appear together when the letters of the word 'PRIORITY' are reordered.
For which of the following events will the number of outcomes exceed $50?$(Indicate all such events.)The number of outcomes in which at least three heads appear in $6$ co...
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Jun 14, 2022
Combinatory
goclasses_wq13
goclasses
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multiple-selects
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4
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GO Classes Weekly Quiz 13 | Discrete Mathematics | Combinatorics | Question: 14
The number of ways of selecting at least one Indian and at least one American for a debate from a group comprising $3$ Indians and $4$ Americans and no one else?
The number of ways of selecting at least one Indian and at least one American for a debate from a group comprising $3$ Indians and $4$ Americans and no one else?
GO Classes
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Jun 14, 2022
Combinatory
goclasses_wq13
numerical-answers
goclasses
combinatory
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3
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2
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13
GO Classes Weekly Quiz 13 | Discrete Mathematics | Combinatorics | Question: 15
In an examination, a question paper consists of $12$ questions divided into two parts i.e, Part I and Part II, containing $5$ and $7$ questions respectively. A student is required to attempt $8$ questions in all, selecting at least $3$ from each part. In how many ways can a student select the questions?
In an examination, a question paper consists of $12$ questions divided into two parts i.e, Part I and Part II, containing $5$ and $7$ questions respectively. A student is...
GO Classes
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Jun 14, 2022
Combinatory
goclasses_wq13
numerical-answers
goclasses
combinatory
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7
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1
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GO Classes Weekly Quiz 13 | Discrete Mathematics | Combinatorics | Question: 16
Count the number of non-negative integer solutions to $ 3 x_{1}+3 x_{2}+3 x_{3}+7 x_{4}=22 . $
Count the number of non-negative integer solutions to$$3 x_{1}+3 x_{2}+3 x_{3}+7 x_{4}=22 .$$
GO Classes
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Jun 14, 2022
Combinatory
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