Question 129

How many words each of two vowels and three consonants can be formed from the letters of the word "UNIVERSAL" ?

Solution

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The number of ways of selecting 2 vowels from U,I,A,E = $$4_{c_2}$$ = 6

The number of ways of selecting 3 consonants from N,V,R,S,L = $$5_{c_3}$$ = 10

After selecting you can arrange them is 5! ways.

Total number of words = 6*10*120 = 7200

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