New One Goal, Three Exams: Strategies for Mastering RBI, SEBI, and IFSCA Exams
Register

Question

If the letters of the word PLAYERS be arranged at random, what is the probability that there are exactly five letters between P and S?   

A 7/55 Correct Answer Incorrect Answer
B 6/49 Correct Answer Incorrect Answer
C 8/51 Correct Answer Incorrect Answer
D 1/42 Correct Answer Incorrect Answer
E None of these Correct Answer Incorrect Answer

Solution

S = 7! = 7 × 5 × 4 × 3 × 2 × 1 = 5040 Let E= event of getting exactly fiveletters between P and S n(E) = 5! = 120  ∴ P (E) = (n(E))/(n(S)) = (120 )/5040 =  1/42

Practice Next
×
×