Permute

Probability Level 2

In a test, there are 10 multiple choice questions. Each question has single correct answer out of 4 options.

What is the total different number of possible combinations of answers?

For example: Student A: ABCABCDCBA, Student B: BCDABCDABD and so on....

4 20 4^{20} None of these 1 0 3 10^{3} 1 0 4 10^{4} 9 9 9^{9} 0 Infinite 2 20 2^{20}

Prince Loomba by Prince Loomba , 21, India

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1 solution

Prince Loomba
Oct 10, 2016

Each question has 4 options. So 4 × 4 × 4... × 4 4×4×4...×4 (10 times)= 4 10 = 2 20 4^{10}=2^{20}

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