Number of vowels =2(E,I). Positions of vowels are fixed. ⇒ Arrangements of vowels =2!=2×1=2 Number of consonants =3(D,L,H). Positions of consonants are fixed. ⇒ Arrangements of consonants =3!=3×2×1=6 Total arrangements = Arrangements of vowels × Arrangements of consonants. ⇒ Total arrangements =2×6=12 ∴ The total number of arrangements is 12 .