dictionary
Probability
Level
3
All the letters of the word "CHEMISTRY" are used to form a dictionary. then the word "CHEMISTRY" will appear at position ?
The answer is 5169.
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1 solution
it is ( 0 × 8 ! ) + ( 1 × 7 ! ) + ( 0 × 6 ! ) + ( 1 × 5 ! ) + ( 0 × 4 ! ) + ( 1 × 3 ! ) + ( 1 × 2 ! ) + ( 0 × 1 ! ) + ( 0 × 0 ! ) = 0 + 5 0 4 0 + 0 + 1 2 0 + 0 + 6 + 2 + 0 + 0 = 5 1 6 8 therefore there are 5168 words before the word "CHEMISTRY". so the position of "CHEMISTRY" is 5168+1 = 5169