UPSC NDA I 2025 Mathematics Paper

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 .