Permutations & Combinations for Competitive Exam Success

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Permutations & combinations

Q. In how many ways can 7 different items be selected and arranged in a line?

Solution

The number of arrangements of 7 different items is 7! = 5040.

Correct Answer: C — 40320

Q. In how many ways can 7 different objects be arranged in a circle?

Solution

The number of arrangements in a circle is (n-1)! = 6! = 720.

Correct Answer: B — 5040

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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