Question

If the letters of the word 'attraction' are written down at random, find the probability that all the 't's occur together

Answer 1

that's the answer for your question

Answer 2

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