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Six distinghuishable particles are distributed over three non-degenerate levels of energies 0, ∈ and 2∈. The energy of most probable macrostate of the system is _______ ∈.
    Correct answer is '6'. Can you explain this answer?
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    Six distinghuishable particles are distributed over three non-degenera...
    For most probable macrostate particles are distributed equally in all groups.
    Energy of the system, 
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    Six distinghuishable particles are distributed over three non-degenera...
    1, and 2.

    To find the number of ways to distribute the particles, we can use the concept of combinations.

    For the first level, we have 6 choices of particles to distribute among the 3 levels. We can represent this as 6C0 (6 choose 0), which is equal to 1 because there is only one way to choose 0 particles for the first level.

    For the second level, we have 6 choices of particles to distribute among the 3 levels. We can represent this as 6C1 (6 choose 1), which is equal to 6 because there are six ways to choose 1 particle for the second level.

    For the third level, we have 6 choices of particles to distribute among the 3 levels. We can represent this as 6C2 (6 choose 2), which is equal to 15 because there are fifteen ways to choose 2 particles for the third level.

    Therefore, the total number of ways to distribute the particles is 1 * 6 * 15 = 90.

    So, there are 90 different ways to distribute the six distinguishable particles over the three non-degenerate levels of energies 0, 1, and 2.
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    Six distinghuishable particles are distributed over three non-degenerate levels of energies 0, ∈ and 2∈. The energy of most probable macrostate of the system is _______∈.Correct answer is '6'. Can you explain this answer?
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