Mathematics - Permutation & Combination Question with Solution | TestHub

MathematicsPermutation & CombinationFundamental PrincipleEasy2 minQB

MathematicsEasysingle choice

How many different 5 letter sequences can be made using the letters A, B, C, D with repetition such that the sequence does not include the word BAD?

Answer:

Solution:

Number of sequences that can be formed $= 4^{5}$

Number of sequences that include $BAD = 3 \times 4^{2} = 48$

Required number $= 4^{5} - 48 = 976$

Stream:JEESubject:MathematicsTopic:Permutation & CombinationSubtopic:Fundamental Principle

⏱ 2mℹ️ Source: QB

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