Question:
(11) The letters of the word “SOCIETY “ are placed at random in a row .What
is the probability that the 3 vowels come together.
Answer:
Given word: SOCIETY
Total arrangement = 7! = 5040
Vowel: O, L, E
Consonant: S, C, T, Y
Vowel taken together, So total letters = 5
Favourable case = 5!*3! {O, L, E can arrange in 3! ways}
= 120*6
= 720
Now, P (all vowel are together) = 720/5040 = 1/7
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