If a study reveals five successes and eight failures, in how many different ways (i.e., sequences) could this have occurred??

Question

Quizplus · Accepted Answer

The total number of different sequences can be calculated using the formula for combinations, which is n! / [r!(n-r)!], where n is the total number of events (successes + failures), and r is the number of successes (or failures, whichever is less for easier calculation). Here, n = 5 + 8 = 13, and r = 5. Thus, the calculation is 13! / (5! * 8!) = 1,287.

If a Study Reveals Five Successes and Eight Failures, in How