The number of ways to distribute 30 identical candies among four children $\mathrm{C}_1, \mathrm{C}_2, \mathrm{C}_3$ and $\mathrm{C}_4$ so that $\mathrm{C}_2$ receives atleast 4 and atmost 7 candies, $\mathrm{C}_3$ receives atleast 2 and atmost 6 candies, is equal to
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