JEE Main 2022 Mathematics question
The number of ways, 16 identical cubes, of which 11 are blue and rest are red, can be placed in a row so that between any two red cubes there should be at least 2 blue cubes, is .
Answer: 56
Solution
Place the 5 red cubes in a row and let , , …, be the numbers of blue cubes in the six gaps (including the two ends), so + … + with , ,
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