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.

Find the number of ways of arranging the letter of the word "MATHEMATICS".

Find the number of ways of arranging the letters of the word. MATHEMATICS

There are 3 candidates for a Physics, 5 for a Chemistry and 4 for a Mathematics scholarship. In how many ways one can these scholarships be awarded ?(one scholarship per subject)

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 candidates for a Physics, 5 for a Chemistry and 4 for a Mathematics scholarship. In how many ways can these scholarships be awarded ?(one scholarship per subject)

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?

In a class 16 students read Mathematics , 17 read General Science and 6 both (of these ). The number of students in the class which read either Mathematics or general science is

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?

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?

In a class of 60 students, 30 students like Mathematics, 25 like Science and 15 like both. Then, the number of students who like either Mathematics or Science is