All the letters of the word TABLE are permuted and the strings of letters (may or may not have meaning) thus formed are arranged in dietionary order. Then the rank of the word TABLE counted from the rank of the word BLATE is

Step-by-step solution

The dictionary order of the letters of given word is A, B, E, L, T In the dictionary order of the words which begin with A come first, If we fill the first place with A, remaining 4 letters (B, E, L, T) can be arranged in 4 ! ways On proceeding like this we get (i) The rank of the word TABLE ( aligned & A ----=4!=24 ways & ----=4!=24 ways & E ----=4!=24 ways & L ----=4!=24 ways & TABLE =1 way & TABLE =1 way aligned ) Rank of the word TABLE (=4 4!+1+1 ) ( aligned & =4 24+2 & =96+2=98 aligned )