(b) Alphabets present in the word "MOTHER" are M, O, T, H, E, R Number of words starting with E is 5!=120 Number of words starting with H is 5!=120 Number of words 'starting with ME is 4!=24 Number of words starting with MH is 4!=24. Number of words starting with MOE is 3!=6 Number of words starting with MOH is 3!=6 Number of words starting with MOR is 3!=6 Number of words starting with MOTE is 2!=2 Now, next word will be Mother. ∴ Rank of the MOTHER. =120+120+24+24+6+6+6+2+1=309