A customer purchasing a new luxury sedan must choose 3 out of 6 options for seat upholstery and 2 out of 5 options for interior trim. How many unique combinations of upholstery and trim can this customer select?

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200

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Explanation

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Official Explanation

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To determine the number of combinations, we first calculate the number of ways to choose 3 out of 6 upholstery options, which is given by

6C3 = \frac{6!}{3!(6-3)!} = \frac{6*5*4}{3*2*1} = 20

. Next, we find the number of ways to…

Comments

NidhilanDec 26, 2024

still struggling with these types of problems

MichelJun 14, 2024

pls explain more?

What this question tests

Whether you can count arrangements and selections correctly — permutations vs. combinations.

Overcounting: treating a selection as ordered when order does not matter, or forgetting to divide by duplicates.