Question
If the letters of the word HORIZON be arranged at
random, what is the probability that all the vowels are together?Solution
S = 7!/2! = (7 × 6 × 5 × 4 × 3 × 2 × 1 )/(2 × 1)= 2520 Let E= event of getting all vowels are together n(E) = (5!x3! )/2! = 360 ∴ P (E) = (n(E))/(n(S)) = 360/2520 = 1/7
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