Permutations & Combinations
4-letter Words with 2 Vowels and 2 Consonants
nta_pyq_2023_apr
Grade 11
Question:
Number of 4-letter words (2 vowels, 2 consonants) from UNIVERSE without repetition is _____.
Step-by-Step Solution
Key Concept: UNIVERSE has vowels U,I,E,E and consonants N,V,R,S. Select 2 vowels (with possible repeat E): cases (both different, one E repeated). Select 2 consonants: $\binom{4}{2}=6$. Arrange 4 letters.
432 words.
Correct Answer: 432