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In a security question, (3) icons are chosen in order from (5) icons. No icon repeats, and if the star icon is chosen, it must be in the second position. How many answers are possible?

Answer and explanation

Correct answer: (36)

If star is not chosen, there are (4 \times 3 \times 2) answers. If star is chosen, the second position is fixed and the other two positions have (4 \times 3) choices.

Related tags

PermutationsCombinationsCountingHardFundamental Principle Of CountingPermutations And CombinationsMathematicsClass 11 Mcq

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