Dark Mode

Recent questions tagged goclasses_wq13

4 votes

1 answer

1

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.

GO Classes asked in Combinatory Jun 14, 2022

335 views

4 votes

2 answers

2

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

GO Classes asked in Combinatory Jun 14, 2022

275 views

3 votes

1 answer

3

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.

GO Classes asked in Combinatory Jun 14, 2022

321 views

3 votes

1 answer

4

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 $x_{4} \geq-3 ?$

GO Classes asked in Combinatory Jun 14, 2022

228 views

5 votes

1 answer

5

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 ? $

GO Classes asked in Combinatory Jun 14, 2022

261 views

5 votes

3 answers

6

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?

GO Classes asked in Combinatory Jun 14, 2022

513 views

3 votes

1 answer

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?

GO Classes asked in Combinatory Jun 14, 2022

365 views

5 votes

1 answer

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? ${ }^{11} \mathrm{C}_{3} * 13!$ $\frac{10 !}{2 ! * 2 ! * 2 !}$ ${ }^{11} \mathrm{C}_{3} * 3 ! * 10 !$ ${ }^{11} \mathrm{C}_{3} \frac{10 !}{2 ! * 2 ! * 2 !}$

GO Classes asked in Combinatory Jun 14, 2022

345 views

3 votes

2 answers

9

GO Classes Weekly Quiz 13 | Discrete Mathematics | Combinatorics | Question: 11
How many squares are there in a chess board? $64$ $204$ $1296$ $4096$

GO Classes asked in Combinatory Jun 14, 2022

464 views

2 votes

1 answer

10

GO Classes Weekly Quiz 13 | Discrete Mathematics | Combinatorics | Question: 12
How many rectangles are there in a chess board?

GO Classes asked in Combinatory Jun 14, 2022

270 views

2 votes

1 answer

11

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 coin. ... number of outcomes in which all the vowels appear together when the letters of the word 'PRIORITY' are reordered.

GO Classes asked in Combinatory Jun 14, 2022

231 views

3 votes

3 answers

12

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?

GO Classes asked in Combinatory Jun 14, 2022

289 views

3 votes

2 answers

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?

GO Classes asked in Combinatory Jun 14, 2022

248 views

7 votes

1 answer

14

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 . $

GO Classes asked in Combinatory Jun 14, 2022

341 views

To see more, click for the full list of questions or popular tags.

Recent questions tagged goclasses_wq13