If the letters of the word FLOWER are arranged at random, then the probability that the order of the consonants is not changed is
Total number of letters in the word FLOWER is (T) = 6
∴ n(s) = 6 !
∴ n(E) =
∴ Required probability | = | |
= |
Short cut method:
The probability that the order of the consonants is not changed = =
Three letters are to be sent to different persons and addresses on the envelopes are also written. without looking at the addresses, the probability that the letters go into the right envelope is
Total number of letters in the word FLOWER is (T) = 6
Total number of ways placing 3 letters in three envelops = 3 !∴ Required probability = (∵ n = 3)
=