Question

Letters of the word 'RANDOM' are written in possible ways and these words are written as in a dictionary.Find the rank of the word 'RANDOM'?

Answer 1

➖word is RANDOM.

➖Firstly arrange the letters in alphabetical order to find the rank.

➖so therefore the order is :-
A, D, M, N, O and R are written in order.

✔️Number of words starting with A = 5! = 120

✔️Number of words starting with D = 5! = 120

✔️Number of words starting with M =5! = 120

✔️Number of words starting with N = 5! = 120

✔️Number of words starting with O = 5! = 120

✔️✔️Number of words beginning with R = 5! =120, but out of these one of the is word RANDOM.

✔️✔️Firstly consider the words starting with RAD and RAM.

✔️✔️Number of words beginning with RAD = 3! = 6

✔️✔️Number of words beginning with RAM = 3! = 6

➖There are 3! words beginning with RAN one of these words is the word RANDOM itself.➖

➖The first word beginning with RAN is the word RANDMO and the next word is RANDOM.➖

✔️✔so therefore Rank of RANDOM
= 5 × 120 + 2 × 6 + 2
= 614

 

Answer 2

Answer:

➡word is RANDOM.

➡Firstly arrange the letters in alphabetical order to find the rank.

➡so therefore the order is :-

A, D, M, N, O and R are written in order.

➡Number of words starting with A = 5! = 120

➡️Number of words starting with D = 5! = 120

➡Number of words starting with M =5! = 120

➡️Number of words starting with N = 5! = 120

➡️Number of words starting with O = 5! = 120

➡➡️Number of words beginning with R = 5! =120, but out of these one of the is word RANDOM.

️➡➡️Firstly consider the words starting with RAD and RAM.

➡➡️Number of words beginning with RAD = 3! = 6

➡➡️Number of words beginning with RAM = 3! = 6

➡There are 3! words beginning with RAN one of these words is the word RANDOM itself.

➡The first word beginning with RAN is the word RANDMO and the next word is RANDOM.

➡➡➡so therefore Rank of RANDOM

= 5 × 120 + 2 × 6 + 2

= 614