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?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
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