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Subjects
Class 11MathematicsPermutations and CombinationsFundamental principle of countingExpert
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How many binary strings of length (10) have exactly (4) ones, no two ones adjacent, and the first position equal to (0)?

Answer and explanation

Correct answer: (15)

After fixing the first position as (0), place (4) non-adjacent ones in the remaining (9) positions. Use the gap method for non-adjacent selections.

Related tags

Binary-StringsNonadjacentCountingFundamental Principle Of CountingPermutations And CombinationsMathematicsClass 11 Mcq
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