We have 5 consonants and 4 vowels. We need to form a word with 3 consonants and 3 vowels.
\[ \binom{5}{3} = 10 \]
\[ \binom{4}{3} = 4 \]
\[ 6! = 720 \]
\[ 10 \times 4 \times 720 = 28800 \]
Note: If the question means only "selections" of letters (not arrangements), then the answer is:
\[ \binom{5}{3}\times \binom{4}{3} = 10 \times 4 = 40 \]
Final Answer:
- If "word" = arrangement → \(\; \boxed{28800}\)
- If "word" = selection → \(\; \boxed{40}\) (matches given Option 1)
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