Given below are two quantities named A & B. Based on the given information, you have to determine the relation between the two quantities. You should use the given data and your knowledge of Mathematics to choose between the possible answers.
Quantity A: If all the 6 letter words that can be formed using the letters of the word ORIENT are arranged as in a dictionary, what will be the rank of ORIENT?
Quantity B: 438Quantity A:
ORIENT
First we will fix the first letter: E, I & N then O will come;
No. of words possible with E as the first letter = 5! = 120
No. of words possible with I as the first letter = 5! = 120
No. of words possible with N as the first letter = 5! = 120
Now, we will fix first two letters: OE, OI and ON, then OR will come;
No. of words possible with OE as first two letters = 4! = 24
No. of words possible with OI as first two letters = 4! = 24
No. of words possible with ON as first two letters = 4! = 24
Now, we will fix first three letters: ORE, then ORI will come;
No. of words possible with ORE as first three letters = 3! = 6
Then the word ‘ORIENT’ will come (It will be the first word starting with ORI)
∴ Rank of ‘ORIENT’ in the dictionary = 360 + 72 + 6 + 1 = 439
Quantity B: 438
∴ Quantity A > Quantity B