Question

The probability in a random arrangement of the letters of the word 'ALLAHABAD', both L are not together is​

Answer 1

Answer:

Considering both L together and treating them as one letter we have 8 letters out of which A repeats 4 times and others are distinct. These 8 letters can be arranged in

4!

8!

ways.

So, the number of words in which both L come together

4!

8!

=1680.

Hence, the number of words in which both L do not come together

= Total number of words -Number of words in which both L come together

=7560−1680

=5880