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 numbers using the...
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 ...
In mathematics, the product of all positive integers less than or equal to n (i.e)n! = n x (n-1) x (n-2) x ... x 1. The value of0! = 1. The factorial function is extensively used inpermutaions (nPr) & combinations (nCr),probability & statistics, calculus,algebra& other...
nCr = n! / ((n – r)! r!) n = the number of items. r = how many items are taken at a time. The ! symbol is afactorial, which is a number multiplied by all of the numbers before it. For example, 4! = 4 x 3 x 2 x 1 = 24 and 3! = 3 x 2 x 1 = 6. So...
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...