Question

In how many ways can $Akansh$ choose a vowel and a consonant from the letters of the word ${}^{\prime }ALLAHABA{D}^{\prime }$

• A. $4$
• B. $6$
• C. $9$
• D. $5$

Answer 1

The correct option is A $4$

Given word $ALLAHABAD.$ It contains only $1$ distinct vowel $\left(A\right)$ and $4$ district consonants.

$\Rightarrow$ Vowels can be chosen in ${}^1{C}_1=1$ way

$\Rightarrow$ Consonants can be chosen in ${}^4{C}_1=4$ ways

$\Rightarrow$ Total $=1\times 4=4.$

Hence, the answer is $4.$