CMA Foundation · Fundamentals of Business Mathematics and Statistics · Permutation and Combinations
A CMA aspirant has 6 different reference books and wants to arrange 4 of them in a row on a desk shelf. In how many different ways can this be done?
The number of ways is 360. Choosing and arranging 4 books out of 6 distinct books in a row is a permutation, 6P4, which equals 6 × 5 × 4 × 3 = 360. Using 4! or 6! would ignore the selection or use too many books.
- A24
- B120
- C360Correct
- D720
Explanation
Arranging 4 of 6 distinct books in order is 6P4 = 6 × 5 × 4 × 3 = 360. The value 24 is 4! (ignores the choice among 6 books), and 720 is 6! (uses all books).
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