Question

Total number of words formed by 2 vowels and 3 consonants taken from 4 vowels and 5 consonants are

Answer 1

The number of ways of the consonants = ${5_C}_3=\frac{5!}{3!2!}=10$

The number of ways of the vowel = ${4_C}_2=\frac{4!}{2!2!}=6$

Total number of vowels and consonants = $2+3=5$

Number of ways the words they appear = $5!=120$

Therefore, total number of ways = $120\times 10\times 6=7200ways$