Question

The number of different words of three letters which can be formed from the word "PROPOSAL", if a vowel is always in the middle are-

• A. 53
• B. 52
• C. 63
• D. 32

Answer 1

Answer: (A)

53

Answer 2

V : If vowel is filled.

C : If consonant is filled.

2P, 1R, 1S, 1L, 2(O), 1A

$\begin{matrix} V & V & V \end{matrix}$ $\frac{\begin{matrix} 3 \end{matrix}}{\begin{matrix} 2 \end{matrix}}$

$\begin{matrix} V & V & C \end{matrix}$ 4.1 + $4\begin{matrix} 2 \end{matrix}$

$\begin{matrix} C & V & V \end{matrix}$ 4.1 + $4\begin{matrix} 2 \end{matrix}$

$\begin{matrix} C & V & C \end{matrix}$ $\frac{\mathbf{1.2 + 6.}\begin{matrix} \mathbf{2} \end{matrix}\begin{matrix} \mathbf{2} \end{matrix}}{\mathbf{Total53}}$