Focus20 applicants are interviewed for a job. The interviewer creates an ordered list (first to last) of the best 6 applicants. 38,760 different ways are there for the interviewer to create the list
Since the question is about choice, we apply the combination rule. In general, if we select r objects from a pool of objects, this can be done in nCr a number of ways.
nCr = n! /(n-r)! r!
If an interviewer selects 6 applicants from a pool of 20 applicants to interview for a job, according to the question, this can be done in 20C6 different ways.
20C6 = 20! / (20-6)! 6!
20C6 = 20! / 14! 6!
20C6 = 20 * 19 * 18 * 17 * 16 * 15 * 14! / 14! * 6 * 5 * 4 * 3 * 2
20C6 = 20 * 19 * 18 * 1716 * 15/6 * 5 * 4 * 3 * 2
20C6 = 27,907,200 / 720
20C6 = 38,760 ways.
Therefore, the interviewer can create the list in 38,760 ways.
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