If the letters of the word 'LATE' be permuted and the words so formed be arranged as in a dictionary, what is the rank of 'LATE' ?

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Solution

Given word is LATE.

Number of words made from letters L,A,T, E starting with A=3!

= 6

Number of words made from letters L,A, T, E starting with = 3!

= 6

Number of words made from letters L,A,T,E starting with LA = 2!

= 2

So,

The rank of LATE in dictionary = 6+6+2 = 14

Required Rank = 14

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If the letters of the word 'LATE' be permuted and the words so formed be arranged as in a dictionary, what is the rank of 'LATE' ?

Given word is LATE. Number of words made from letters L,A,T, E starting with A=3! = 6 Number of words made from letters L,A, T, E starting with = 3! = 6 Number of words made from letters L,A,T,E starting with LA = 2! = 2 So, The rank of LATE in dictionary = 6+6+2 = 14 Required Rank = 14

Given word is LATE.

Number of words made from letters L,A,T, E starting with A=3!

= 6

Number of words made from letters L,A, T, E starting with = 3!

= 6

Number of words made from letters L,A,T,E starting with LA = 2!

= 2

So,

The rank of LATE in dictionary = 6+6+2 = 14

Required Rank = 14