Question

The no. of 4 letter words that can be formed using the letters of DEGREE.

• A. 72
• B. 24
• C. 48
• D. 54

Answer 1

Answer: (A)

72

Answer 2

\begin{tabular} { c | c } 3 identical & 3diff. \ \hline 1 & 3 \ 2 & 2 \ 3 & 1 \end{tabular}

No. of ways = ${ } ^ { 3 } \mathrm { C } _ { 3 } \angle 4 + { } ^ { 3 } \mathrm { C } _ { 2 } \frac { \angle 4 } { \angle 2 } + { } ^ { 3 } \mathrm { C } _ { 1 } \frac { \angle 4 } { \angle 3 }$

= 24 + 3 x 12 + 3 x 4

= 24 + 36 + 12 = 72.