MCQOPTIONS
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MCQOPTIONS
This section includes 10 Mcqs, each offering curated multiple-choice questions to sharpen your Discrete Mathematics knowledge and support exam preparation. Choose a topic below to get started.
| 1. |
Suppose, there are 7 of your friends who want to eat pizza (8 distinct people in total). You order a 16-cut pizza (16 identical slices). How many distributions of pizza slices are there if each person gets at least one slice of pizza? |
| A. | 346 |
| B. | 6435 |
| C. | 3214 |
| D. | 765 |
| Answer» C. 3214 | |
| 2. |
How many ways are there to place 7 differently colored toys into 5 identical urns if the urns can be empty? Note that all balls have to be used. |
| A. | 320 |
| B. | 438 |
| C. | 1287 |
| D. | 855 |
| Answer» E. | |
| 3. |
Suppose that M is the product of k distinct primes. Find the number of ways to write N as the product of positive integers(>1), where the order of terms does not matter. |
| A. | MCN-k |
| B. | NCM |
| C. | N * Bk |
| D. | Bk |
| Answer» E. | |
| 4. |
A woman has 14 identical pens to distribute among a group of 10 distinct students. How many ways are there to distribute the 14 pens such that each student gets at least one pencil? |
| A. | 15C10 |
| B. | 10C5 * 11 |
| C. | 15C8 * 4! |
| D. | 13C9 |
| Answer» E. | |
| 5. |
There are 5 distinct fruits. How many ways can they be planted into identical fruit plants? |
| A. | 87 |
| B. | 52 |
| C. | 76 |
| D. | 128 |
| Answer» C. 76 | |
| 6. |
There are 28 identical oranges that are to be distributed among 8 distinct girls. How many ways are there to distribute the oranges? |
| A. | 22P7 |
| B. | 34C6 |
| C. | 35C7 |
| D. | 28C8 |
| Answer» D. 28C8 | |
| 7. |
Assume that it is an afternoon. What is the time on the 24 hour clock after 146 hours? |
| A. | 12:10 pm |
| B. | 8:30 am |
| C. | 3 am |
| D. | 2 pm |
| Answer» E. | |
| 8. |
How many ways can one choose 20 cookies from 45 different types (assuming there are at least 20 of each type)? |
| A. | 64C21 * 15 |
| B. | 64C20 |
| C. | 44C20 * 2! |
| D. | 65C22 |
| E. | ?a) 64C21 * 15b) 64C20c) 44C20 * 2!d) 65C22 |
| Answer» C. 44C20 * 2! | |
| 9. |
In a picnic with 20 persons where 6 chocolates will be given to the top 8 children(the chocolates are distinct: first, second). How many ways can this be done? |
| A. | 18C6 |
| B. | 20P6 |
| C. | 25C4 * 6! |
| D. | . How many ways can this be done?a) 18C6b) 20P6c) 25C4 * 6!d) 19P5 |
| Answer» C. 25C4 * 6! | |
| 10. |
For a gaming competition, 8 girls are planning on splitting up into 3 (non-empty) groups. How many ways can they split up into these groups? |
| A. | 465 |
| B. | 1056 |
| C. | 966 |
| D. | 3215 |
| Answer» D. 3215 | |