Question

All the letters of the word PUBLIC are written in all possible orders and these words are written as in a dictionary with serial numbers. Then the serial number of the word PUBLIC is 

(1) 580 

(2) 582 

(3) 578 

(4) 576

Answer 1

Correct option is (2) 582 

B ……………. → 5! = 120 

C ……………. → 5! = 120 

I ……………. → 5! = 120 

L ……………. → 5! = 120 

PB ……………. → 4! = 24 

PC ……………. → 4! = 24 

PL ……………. → 4! = 24 

PI ……………. → 4! = 24 

P ∪ BC …..…. → 2! = 2

P ∪ BI …...…. →  2! = 2 

P ∪ BLC ….…. → 1! = 1 

P ∪ BLIC ……. → = 1 

Serial number = 4(120) + 4(24) + 6 = 582