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Interview-indicates-that-all-the-4-maths-students-5-physics-and-7-chemistry-students-who-applied-for-a-scholarship-in-their-respective-disciplines-qualified-for-an-award-In-how-many-ways-the-aeard-ca




Question Number 77117 by necxxx last updated on 03/Jan/20
Interview indicates that all the 4 maths  students,5 physics and 7 chemistry  students who applied for a scholarship  in their respective disciplines qualified  for an award. In how many ways the aeard  can be made if;  (i)only one scholarship is available in  each of the disciplines  (ii)only two scholarships are availablr  in each of the disciplines.
$${Interview}\:{indicates}\:{that}\:{all}\:{the}\:\mathrm{4}\:{maths} \\ $$$${students},\mathrm{5}\:{physics}\:{and}\:\mathrm{7}\:{chemistry} \\ $$$${students}\:{who}\:{applied}\:{for}\:{a}\:{scholarship} \\ $$$${in}\:{their}\:{respective}\:{disciplines}\:{qualified} \\ $$$${for}\:{an}\:{award}.\:{In}\:{how}\:{many}\:{ways}\:{the}\:{aeard} \\ $$$${can}\:{be}\:{made}\:{if}; \\ $$$$\left({i}\right){only}\:{one}\:{scholarship}\:{is}\:{available}\:{in} \\ $$$${each}\:{of}\:{the}\:{disciplines} \\ $$$$\left({ii}\right){only}\:{two}\:{scholarships}\:{are}\:{availablr} \\ $$$${in}\:{each}\:{of}\:{the}\:{disciplines}. \\ $$

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