Answer:
15 is the number of combination of 4 successes.
Step-by-step explanation:
We are given the following information:
We are given a binomial distribution, then probability of x succes is given by
[tex]P(X=x) = \binom{n}{x}.p^x.(1-p)^{n-x}[/tex]
where n is the total number of observations, x is the number of success, p is the probability of success.
Now, we are given n = 6 and x = 4
We have to evaluate the number of combination of success and failures.
It is given by:
[tex]\binom{n}{x} = \dfrac{n!}{x!(n-x)!}\\\\\binom{6}{4} = \dfrac{6!}{4!(6-4)!} = \dfrac{6!}{4!2!} = 15[/tex]
Thus, 15 is the number of combination of 4 successes.
