Question

How many five letter words, with meaning or without meaning, can be formed by using the letters $A,B,C$ such that letter $A$ cannot be repeated but $B$ and $C$ can be used any number of times

• A. $32$
• B. $112$
• C. $243$
• D. $81$

Answer 1

The correct option is B $112$

Number of words not containing $A=2^5$
Number of words containing $A=5\times 2^4$
Total number of words that can be formed $=32+80=112$