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Question: Answered & Verified by Expert
In an admission test, there are 15 multiple choice questions. Each question is followed by 4 alternatives to choose. Out of these there may be one or more than one correct answers. If a student attempts all the 15 questions and marks the answers randomly, then number of different ways he can answer the question paper is
MathematicsPermutation CombinationJEE Main
Options:
  • A ${ }^{4 \times 15} \mathrm{C}_4$
  • B $15^{15}$
  • C $4^{15}$
  • D $4 ! \cdot 15 !$
Solution:
1663 Upvotes Verified Answer
The correct answer is: $15^{15}$
These are 15 multiple type questions. Students attempts all 15 questions.
The number of way student can answer the questions is $=m^n$

$$
\begin{aligned}
m & =15 \\
n & =15 \Rightarrow(15)^{15}
\end{aligned}
$$

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