CA Foundation · Quantitative Aptitude · Permutations and Combinations
In how many ways can 4 different prizes be awarded to 4 students chosen from a class of 10 students, if no student can receive more than one prize?
The answer is 5040. Because the four prizes are different and no student can take two, we arrange 4 of the 10 students in order, giving 10P4 = 10 × 9 × 8 × 7 = 5040 ways.
- A210
- B5040Correct
- C10000
- D40
Explanation
Choosing and ordering 4 students out of 10 for 4 distinct prizes is 10P4 = 10 × 9 × 8 × 7 = 5040. The value 210 is 10C4, which ignores that the prizes are different. The value 10000 allows a student to win more than one prize.
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