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Home » The Hidden Secret Behind DEASLeas Query That Experts Are Too Afraid to Share! - inBeat

The Hidden Secret Behind DEASLeas Query That Experts Are Too Afraid to Share! - inBeat

📅 May 3, 2026 👤 scraface

May 03, 2026

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📌 Question: A computer scientist uses a randomization algorithm that generates a 5-character code using the letters A, B, C, D, and E, each used at most once, with the middle character fixed as B. How many valid codes can be generated under this rule?

📌 Solution: The code has 5 positions: _ _ _ _ _. The middle (3rd) character is fixed as B. We must choose 4 distinct letters from {A, B, C, D, E}, with B fixed in position 3, so the remaining 4 positions use the other 4 letters, but B is already placed, so we use A, C, D, E for the other 4 positions.

📌 We fix B in position 3. The remaining 4 positions (1st, 2nd, 4th, 5th) must be filled with the 4 other letters (A, C, D, E), each exactly once â so it's a permutation of 4 distinct letters.

📌 Number of such permutations: $ 4! = 24 $

📌 Thus, there are 24 valid codes.

📌 Question: A blockchain smart contract generates a token sequence using 4 gold tokens, 3 silver tokens, and 2 bronze tokens, where tokens of the same type are indistinguishable. How many distinct sequences of all 9 tokens can be arranged?

📌 Solution: We are arranging 9 tokens in total, where there are 4 identical gold, 3 identical silver, and 2 identical bronze tokens. The number of distinct permutations is given by the multinomial coefficient:

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