Problem on permutations & combinations

Thread starter riddhish
Start date Apr 11, 2008
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Combinations Permutations

In summary, permutations and combinations are mathematical concepts used to determine the number of ways to arrange or select objects from a larger set. Permutations involve arranging objects in a specific order, while combinations involve selecting objects without considering their order. The formulas for calculating permutations and combinations are n! / (n-r)! and n! / r!(n-r)!, respectively. These concepts can be applied in various real-life situations, such as gambling, lottery, and sports, as well as in computer science and statistics.

Apr 11, 2008

riddhish

I can't solve it, please helpppp!
problem :- there are 8 points in a plane (non collinear) find the maximum number of triangles formed out of these points such that no 2 triangles have more than one common vertex.

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Apr 11, 2008

Diffy

How have you tried solving it?

1. What is the difference between permutations and combinations?

Permutations refer to the number of ways to arrange a set of objects in a specific order, while combinations refer to the number of ways to select a subset of objects from a larger set without considering their order.

2. How do I know when to use permutations or combinations in a problem?

If the problem involves arranging objects in a specific order, then permutations should be used. If the problem only involves selecting a specific number of objects without considering their order, then combinations should be used.

3. What is the formula for calculating permutations?

The formula for permutations is n! / (n-r)! where n represents the total number of objects and r represents the number of objects being selected.

4. What is the formula for calculating combinations?

The formula for combinations is n! / r!(n-r)! where n represents the total number of objects and r represents the number of objects being selected.

5. Can permutations and combinations be applied to real-life situations?

Yes, permutations and combinations are often used in real-life situations such as in gambling, lottery, and sports to calculate the odds of a certain outcome. They are also used in computer science and statistics.