Total number of words formed by 2 vowels and 3 consonants taken from 4 vowels and 5 consonants is equal to `60` b. `120` c. `7200` d. none of these

Explanation

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=7200` ways