nPr Formula The letter "P" in thenPr formula stands for "permutation" which means "arrangement".nPr formula gives the number of ways of selecting and arranging r things from the given n things. Sometimes the arrangement really matters. For example, if we have to find all the 3 digit numbe...
What is the difference between nCr and nPr? nCr is the Combinations formula and nPr is the Permutations formula. While they are very similar formulas, the only difference is that nCr has r! in its denominator. How do you know when to use nCr or nPr? nCr is the Combinations formula and...
For example, 4! = 4 x 3 x 2 x 1 = 24 and 3! = 3 x 2 x 1 = 6. So for 5C3, the formula becomes: nCr = 5!/ (5 – 3)! 3! nCr = 5!/ 2! 3! nCr = (5 * 4 * 3 * 2 *1) / (2 * 1)(3 * 2 * 1) nCr = 120 / (2 * 6) nCr = 120 / 12 nCr...
So the possible ways for people to sit over the seat using permutation are {AB, AC, BA, BC, CA, CB}. In our example, we have 3 people, so n = 3. And we have 2 seats available, so r = 2. Finally we get 6 objects/permutation in a set, so nPr is 6, when n = 3 and ...
= 1. The factorial function is extensively used in permutaions (nPr) & combinations (nCr), probability & statistics, calculus, algebra & other advanced mathematical analysis.Factorial Formula The below mathematical formula is used in this calculator to find the factorial of a given positive number...
For this purpose, it is well known that vegetable oils are gaining more importance in environmentally friendly industrial applications due to their inherent biodegradability, renewability, low ecotoxicity and low toxicity towards humans [3,4]. In particular, castor oil seems to be a good option due...