Question

If all the letters of the word 'QUEST' are arranged in all possible ways and put in dictionary order, then find the rank of the given word.

Answer 1

Number of words beginning with E = ⁴P₄ = 24 

Number of wards beginning with QE = ³P₃ = 6 

Number of words beginning with QS = 6 

Number of words beginning with QT = 6. 

Next word is 'QUEST' 

∴ its rank is 24 + 6 + 6 + 6 + 1 = 43.