Permutation and Combination - Quant/Math -
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Question 4 the day:
September 03, 2002
The question for the day is from the topic of permutation and combination.
- How many words can be formed by re-arranging the letters of the word PROBLEMS such that P and S occupy the first and last position respectively?
| (1) |
8! / 2! |
|
(2) |
8! - 2! |
|
(3) |
6! |
|
(4) |
8! - 2*7! |
Correct Answer - (3)
Solution:
As P and S should occupy the first and last position, the first and last position can be filled in only one way. The remaining 6 positions can be filled in 6! ways.
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