# Find rank of the word "ARRANGE"..!

Aman Bansal
592 Points
12 years ago

Dear Ranjita,

rank of the word "ARRANGE" is 342.

For example:

. Take that word which we have to find the rank. Now the letter of that word is repeating. I take "BOMBAY"

2. Now arrange the letter of "BOMBAY" in alphabetical order. Now they are "ABBMOY".

3. Pickup first letter from "ABBMOY" that s "A". Now compare "A" from "BOMBAY". Does the letter "A" in the first we want? NO. Now how many words can be made if we extract "A" from "ABBMOY".

A = 5! / 2! = 60

Now proceed to the next.

4. Pickup second letter from "ABBMOY" that s "B". Now compare "B" from "BOMBAY". Does the letter "B" in the first we want? Yes. Now fix the letter "B".

[B]

Then go to once again on the first letter of "ABBMOY". Does "A" we want? NO. Then write down how many words can be made with starting [B]A

[B]A = 4! = 24

5. Repeat the process until we get the letter which we want after B in the word "BOMBAY".

[B]B = 4! = 24
[B]M = 4! = 24

[B]O. "O" we want. So fix this and get back to the starting.

6. Does we want now [BO]A? NO. So write down once again.

[BO]A = 3! = 6
[BO]B = 3! = 6

[BO]M. "M" we want now. So fix this too. And get back to the starting.

7. Does we want [BOM]A? No. So write down once again.

[BOM]A = 2! = 2

[BOM]B. "B" we want. So fix this too. And get back to starting. We see "A" also we want now. So fix this too. And the last letter is "Y" We also want this. So we reach to the end. Now we can write.

[BOMBAY] = 1.

8. Now add the entire sum which we earn.
That s 60 + 24 +24 + 24 + 6 + 6 + 2 + 1 = 147. That s the answer.

Best Of luck

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Thanks

Aman Bansal