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MATH FORMULAS
Permutations:
Note: Multiple events means multiply! This rule applies to ALL permutation, combination and probability questions in some way.
No math formula required. Draw a picture, keep track of the results and multiply
Combinations:
Combination Formula
n = Number of items
k = Number of items to be selected
Example:
Probability:
Probability = 
“and” = Multiply
“or” = Add
Example:
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FAQs on Permutations, Math Formulas For GMAT - Quantitative for GMAT
| 1. What is a permutation in math? |  |
| 2. What is the formula for calculating permutations? | |
The formula for calculating permutations is given by:
P(n, r) = n! / (n - r)!
where n is the total number of objects to choose from, and r is the number of objects to be chosen.
| 3. How is permutation different from combination? | |
Permutation differs from combination in terms of the order of objects. In permutation, the order matters, while in combination, the order does not matter. For example, the permutations of the letters A, B, and C would include ABC, ACB, BAC, etc., whereas the combinations would include ABC, but also ACB, BAC, and so on.
| 4. How do I calculate permutations with repetition? | |
To calculate permutations with repetition, you can use the formula:
P(n; n1, n2, ..., nk) = n! / (n1! * n2! * ... * nk!)
where n is the total number of objects, and n1, n2, ..., nk represent the number of times each object is repeated.
| 5. Can you provide an example of a permutation problem? | |
Sure! Let's say you have 5 different books on a shelf, and you want to arrange them on a bookshelf. How many different ways can you arrange the books?
Using the permutation formula, where n is 5 (total number of books) and r is also 5 (number of books to be chosen), we have:
P(5, 5) = 5! / (5 - 5)! = 5! / 0! = 5! = 5 * 4 * 3 * 2 * 1 = 120
Therefore, there are 120 different ways to arrange the 5 books on the bookshelf.
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