Number of ways in which 30 identical things are distributed among 6 persons is (a) \( { }^{17} C...

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Number of ways in which 30 identical things are distributed among 6 persons is
(a) \( { }^{17} C_{5} \) if each gets odd number of things
(b) \( { }^{16} C_{11} \) if each gets odd number of things
(c) \( { }^{4} C_{5} \) if each gets even number of things (excluding 0 )
(d) \( { }^{15} C_{10} \) if each gets even number of things (excluding 0 )
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