if the letters of the word prison are arranged in all possible ways and word thus formed are arranged as in dictionary order.find the rank of word sipron
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Answer:
438 is the rank of the word PRISON.
Step-by-step explanation:
Given word PRISON
Dictionary order = I,N,0,P,R,S.
No of words that begin with I = 5!
No of words that begin with N = 5!
No of words that begin with 0 = 5!
No of words that begin with PI = 4!
No of words that begin with PN = 4!
No of words that begin with PO = 4!
No of words that begin with PRIN = 2!
No of words that begin with PRISN = 1!
No of words that begin with PRISON = 0! = 1
Rank of PRISON = 120 + 120 + 120 + 24 + 24 + 24 + 2 + 2 + 1 + 1 = 438
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