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Statement 1: Number of ways in which 30 ...

Statement 1: Number of ways in which 30 can be partitioned into three unequal parts, each part being a natural number is 61. Statement 2; Number of ways of distributing 30 identical objects in three different boxes is `^30 C_2dot`

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Statement-1: The number solutions of the equations x+y+z=15 in the set N of all natural numbers is ""^(4)C_(2) . Statement-2: The number of ways of distributing n identical items among r persons is ""^(n+r-1)C_(r-1)

Statement-1: The number solutions of the equations x+y+z=15 in the set N of all natural numbers is ""^(14)C_(2) . Statement-2: The number of ways of distributing n identical items among r persons is ""^(n+r-1)C_(r-1)