If the letters of the word 'attraction' are written down at random, find the probability that all the 't's occur together
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The probability would be 1/15
The total number of letters in the word = 10
Number of T's = 3
Considering all the three t's as a single word
we have following letters: a r a c i o n X
Total possible ways of arranging these would be 8!/2! = 20160
ways of arranging the T's inside the X would be 3! = 6
Total possible ways of arranging letters of Attraction would be 10! / (3! *2!) 302400
Probability would be
20160 / 302400 = 1/15
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