Permutations & Combinations
Q. In how many ways can 6 different colored balls be arranged in a row? (2018)
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A.
720
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B.
600
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C.
480
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D.
360
Solution
The number of arrangements of 6 distinct balls is 6! = 720.
Correct Answer: A — 720
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Q. In how many ways can 6 people be seated in a row?
-
A.
720
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B.
600
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C.
480
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D.
360
Solution
The number of arrangements of 6 people is 6! = 720.
Correct Answer: A — 720
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Q. In how many ways can 7 people be divided into 3 groups if one group must have 3 people?
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A.
210
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B.
300
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C.
420
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D.
560
Solution
Choose 3 people from 7: C(7, 3) = 35. The remaining 4 can be divided into 2 groups in 2 ways. Total = 35 * 2 = 70.
Correct Answer: B — 300
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