Question

The probability in a random arrangement of the letters of the word 'ALLAHABAD', both L are not together is: A. 147/189 B. 147/191 C. 141/189 D. 143/189​

Answer 1

Answer:

Correct option is

A

63

1

Lets find the total number of ways in which ALLAHABAD is arranged irrespective of any condition.

There are 4A’s 2L’s 1B 1D 1H in word.

Total ways of arrangement will be

4!2!

9!

=7560 ways

Now, ways in which all similar words are together, thus we have to consider 4A’s as one unit, similarly 2L’s as a unit, so number of ways will be 5!

Thus, probability will be

7560

5!

=

63

1