Q. In how many ways can 7 different items be selected and arranged in a line?
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A.
5040
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B.
720
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C.
40320
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D.
10080
Solution
The number of arrangements of 7 different items is 7! = 5040.
Correct Answer: C — 40320
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Q. In how many ways can 7 different objects be arranged in a circle?
-
A.
720
-
B.
5040
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C.
7200
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D.
600
Solution
The number of arrangements in a circle is (n-1)! = 6! = 720.
Correct Answer: B — 5040
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Q. In how many ways can the letters of the word 'LEVEL' be arranged?
Solution
The word 'LEVEL' has 5 letters with 'L' and 'E' repeating. The arrangements = 5! / (2! * 2!) = 30.
Correct Answer: B — 30
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