Question

In an examination, question paper consists of $20$ multiple choice questions having $4$ choices each. In how many ways can a student answer?

• A. ${20}^4$
• B. $4^{20}$
• C. $80$
• D. $24$

Answer 1

Answer: (B)

$4^{20}$

Number of question $:20$

Choice given $:4$

Each question has $4$ choices

Each question can be answered in $4$ ways

So $20$ questions can be answered in

$\Rightarrow 4\times 4\times 4\times \mathrm{4........}(20$ times)

$\Rightarrow {\left(4\right)}^{20}$ Ways

Therefore Number of ways $={\left(4\right)}^{20}$ Ways