If a study with a total sample size of 14 measures 7 successes, in how many different sequences could these successes have occurred??

Question

Quizplus · Accepted Answer

The number of different sequences of successes can be calculated using the binomial coefficient, which is given by the formula for combinations: C(n, k) = n! / [k!(n-k)!], where n is the total number of trials (14 in this case), and k is the number of successes (7). Plugging in the numbers, we get C(14, 7) = 14! / [7!7!] = 3,432.

If a Study with a Total Sample Size of 14