Question

If the letters of the word chasm are rearranged to form 5 letter words such that none of the word repeat and the results arranged in ascending order as in a dictionary what is the rank of the word chasm ?

Answer 1

The 5 letter words CHASM can be arranged in 5!

Ways making it 120 without any repeat in the letter.

The first 24 word will start with the letter A and then from the 25th word the first two letters will be CA.

hence the last three letter can be arranged in 3! Ways = 6.

Hence 6 words will be formed with CA___.

Then next will be CH and then will add A to the list making it CHA__ hence the words will be arranged in 2 manners i.e.., CHAMS and CHASM.

Hence, the exact rank of the word CHASM will be 24 + 6 + 2 = 32