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    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?┬а ┬а
    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 ├Ч 5 ├Ч 4 ├Ч 3 ├Ч 2 ├Ч 1 = 5040 Let E= event of getting exactly fiveletters between P and S n(E) = 5! = 120┬а тИ┤ P (E) = (n(E))/(n(S)) = (120 )/5040 = ┬а1/42

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