Question

An examination paper contains $8$ questions of which $4$ have $3$ possible answer each, $3$ have $2$ possible answers each and the remaining one question has $5$ possible answers. The total number of possible answers to all the questions is

• A. $3240$
• B. $78$
• C. $2880$
• D. $94$

Answer 1

The correct option is A $3240$

Total number of questions $=8$
$4$ questions has $3$ options so,
Each other of $4$ questions can to be done in $3$ ways,
So, required number of answer $=3\times 3\times 3\times 3=81$ ways.
Next $3$ questions has $2$ options.
They can be done in $2\times 2\times 2=8$ ways
And the last question has $5$ options that can be done in $5$ ways.
Thus, total number of ways $=81\times 5\times 8=3240$