Category Archives: Math and Probability - Page 3

Forming a Team

Problem A group of 4 boys and 3 girls. We want to form a team of 5 players. We are required to select 2 girls and 3 boys. If 2 boys can not play together. How many possible ways we …

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Color Signals

Problem You are given 1 red flag, 2 green flags and 3 blue flags. You are asked to generate 6 symbol based signals using these flags. How many signals you can generate. Solution This problem can be solved using permutations …

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California License Plate Numbers

Problem A typical car license plate number in California starts with a decimal digit then three capital letters then three decimal digits. If repetition is not allowed and we need to generate a license plate number randomly, what is the …

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Defective Antennas

Problem Consider the system where we have a chain of 4 antennas lined up next to each other. In order for the system to be functional no two defective antennas should be lined up next to each other. Given that …

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Car Parking Problem Algorithm

Problem In a parking lot there are (4) trucks, (3) SUVs, (2) Sedans and one motorcycle. We need to park the cars such that cars of the same type are next to each other. For example all trucks are adjacent …

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3 Ants Triangle Puzzle

Triangle ants problem Three ants on the corners of an equilateral triangle. They started moving along the edges at the same speed. What is the probability that the ants will collide ? Solution Each ant could possibly be moving in …

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