Doubtnut Scholarship Test 12

Scholarship Test Announcement

Out of 2n+1 students, n students have to be given the scholarships. The number of ways in which at least one student can be given the scholarship is 63. What is the number of students receiveing the scholarship?

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.

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?

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?

A child studying hard for the sake of getting a scholarship is an example of

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.