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combination
Pooja Palod
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Combinatory
Oct 5, 2015
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Suppose 10 persons are in canteen whoch offers coffee,tea,pepsi How many ways they can order their drinks as a group if each persin wants one of the 3 drinks ?
Pooja Palod
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Oct 5, 2015
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We have to divide 10 persons into 3 groups (corresponding to three drinks) such that a group may be empty. This is stars and bars problem Theorem 2(
https://en.wikipedia.org/wiki/Stars_and_bars_%28combinatorics%29),
and solution is given by $\binom{10+3-1}{3-1}=\binom{12}{2}=66$ ways.
Happy Mittal
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Oct 5, 2015
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