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A business has 33 applicants for a job. How many ways can they

pick 6 of the applicants to interview?

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Final answer:

To determine the number of ways to pick 6 job applicants from 33, one must calculate the combinations using the formula 33C6, which equals 33! / (6! * 27!).

Step-by-step explanation:

The question is asking for the number of ways to choose 6 applicants from a pool of 33 for interviews, which is a problem of combinations without replacement. To find the number of combinations, you use the formula for combinations, which is nCr = n! / (r!(n-r)!). In this case, n is 33 and r is 6. Plugging these numbers into the formula, you would calculate 33! / (6!(33-6)!), which simplifies to 33! / (6! * 27!). This calculation gives you the total number of unique combinations possible for interviewing 6 applicants out of 33 without regard to the order in which they are chosen.

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