In mathematics, the concept of combinations helps in identifying the number of possible selections from a larger set where the sequence of selection is not significant. The formula nCr = n! / r!(n-r)! is typically used to solve these problems. Here, 'n' represents the total items, 'r' stands for the items chosen, and '!' signifies factorial.
| Topic | Problem | Solution |
|---|---|---|
| None | A catering service offers 11 appetizers, 12 main … | This problem involves choosing a certain number of items from a larger set, where the order in whic… |
| None | How many 8-person juries can be formed from 24 po… | This problem is about forming 8-person juries from 24 possible candidates. It is a combination prob… |
| None | For $\$ 3.98$ you can get a salad, main course, a… | This problem is about counting the number of ways to choose one item from each category. Since the … |
| None | For the new fall season, a network president has … | We are given that a network president has 7 shows in development, and 5 openings in the prime time … |
| None | A group of campers is going to occupy 5 campsites… | This problem is about choosing 5 campsites out of 17 available ones. The order in which the campsit… |
| None | A person can order a new car with a choice of 6 p… | This problem is about combinations. Each feature of the car can be considered as a binary choice (e… |