Question

Application of factorial functions in probability

Answer 1

Step-by-step explanation:

application

factorial find its use in following mathematical concepts:

1) Recursion: In recursive definition of a number, a number can be expressed in an expression containing the number only.

    n!=n×(n−1)×(n−2)×(n−3)..(n−(n−2))×(n−(n−1))n!=n×(n−1)×(n−2)×(n−3)..(n−(n−2))×(n−(n−1))

2) Permutations: Arrangement of r things out of n things when order is important.

    PnrPrn = n!(n−r)!n!(n−r)!

3) Combinations: Arrangement of r things out of n things when order is not important.

    CnrCrn = n!(n−r)!r!n!(n−r)!r!

4) Probability Distributions: There are various probability distributions like binomial distribution which include the use of factorial. To find                 probability of an event, concept of permutations and combinations is used a lot.

5) Number Theory: Factorials find their use in number theory and approximations.