Question

write the relation between npr and ncr where 0<r≤n?​

Answer 1

Answer:

The permutation or shorter nPr is the number of ways in which we can choose r(r≤n) different objects out of a set containing n different objects, where the order of the elements is important. In our example, there are 6 possible permutations of 3 different objects. The symbol P(n,r) denotes the number of permutations of n objects taken all at once. The symbol P(n,r) denotes the number of permutations of n objects taken r at a time.

The combination or shorter nCr it is the number of ways in which we can choose r objects out of a set containing n different objects such that (unlike permutations) the order of selection does not matter. The symbol C(n,r) denotes the number of combinations of n objects taken r at a time. For example, Ann has five coins in his bag and pulls out three at one time.

Answer 2

These calculation are the number of ways of obtaining an ordered and unordered subset of r elements from a set of n elements. n = the set size. It is the total number of items in the sample. r = the subset size. It is the number of items chosen from the sample. Only whole positive (integer) numbers are valid. Permutations gives the number of ways a subset of r items can be chosen out of a set of n items and different arrangements of the same items are also counted. Combinations gives the number of ways a subset of r items can be chosen out of a set of n items. For r <= n, n >= 0, and r >= 0. The permutations formula is (P(n,r) = n! / (n - r)!)... The combinations formula is (C(n,r) = n! / r! (n - r)!)...

NPR Permutations And NCR Combinations Calculator

This will calculate the permutations for P(n,r) = n! / (n - r)! and the combinations for C(n,r) = n! / r! (n - r)!.