The English alphabets have 5 vowels and 21 consonants. How many words with two different vowels and two different consonants can be formed from the alphabet?

Question

Quantrex Academy · Accepted Answer

Correct answer: D. 2100 4 !

Selection of two vowels ^5 C ₂ Selection of two consonants ²¹ C₂ Arrangements of four letters 4 ! Total words = ^5 C₂ ²¹ C₂ 4 !=2100 4 !

The English alphabets have 5 vowels and 21 consonants. How many words with two different vowels and two different consonants can be formed from the alphabet?

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