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There are 3 candidates for a classical,5 for a Mathematical,and 4 for a Natural science scholarship.In how many ways can these scholarships be awarded? In how many ways one of these scholarships be awarded?

A memorial trust donates Rs. 5,00,000 to a school, the interest on which is to be used for awarding 3 scholarships to students obtaining first three positions in the school examination every year. If the donation earns an interest of 12 per cent per annum and the values of the second and third scholarships are Rs. 20,000 and Rs. 15,000 respectively, find out the value of the first scholarship.

There are 3 condidates for a Classical; 5 for a Mathematical and 4 for a Natural science scholarship.(i) In how many ways can these scholarship be awarded? (ii) In how many ways one of these scholarships be awarded?

There are 5 candidates for mathematics , 7 for science and 3 for arts scholarship . Find the number of ways of give one scholarship either for mathematics or for science or for arts.

EXAMPL.E 1There are 3 candidates for a Classical,5 for a Mathematical,and 4 for a Natural sciencescholarship.(i) In how many ways can these scholarships be awarded? (ii) In how many ways one of these scholarships be awarded?

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Fatima donates Rs 2000 to a school,the interest on which is to be used for awarding 5 scholarships of equal value every year.If the donator earns an interest of 10% per annum, find the value of each scholarship.

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