JEE Main 2025April, Unspecified (session-level dataset)MathematicsMediumUnclassified (maths)
All five-letter words are made using all the letters A, B, C, D and E and arranged as in an English dictionary with serial numbers. Let the word at serial number n be denoted by Wₙ. Let the probability P(Wₙ) of choosing the word Wₙ satisfy P(Wₙ) = 2·P(Wₙ₋₁) for n > 1. If P(CDBEA) = 2^α / (2^β − 1), with α, β ∈ ℕ, then α + β is equal to: