There re three books of physics, four of chemistry and five of mathematics. How many different collections can be made such that each collection consists of
(i) one book of each subject
(ii) atleast one book of each subject.
(iii) atleast one book of mathematics.

There are 3 books of mathematics,4 of science,and 5 of literature.How many different collections can be made such that each collection consists of (1) one book of each subject,(2) at least one book of each subject, (3)at least one book of literature.

There are 3 books of mathematics,4 books of Physics and 5 on English.How many different collection can be made such that each collection consist of :

In a survey of 25 students, it was found that 12 have taken physics, 11 have taken chemistry and 15 have taken mathematics; 4 have taken physics and chemistry; 9 have taken physics and mathematics; 5 have taken chemistry and mathematics while 3 have taken all the three subjects Find the number of students who have taken (i) physics only (ii) chemistry only; (iui) mathematics only (iv) physics and chemistry but not mathematics; (v) physics and mathematics but not chemistry; (vi) only one of the subjects; (vii) at least one of the three subjects; (vii) none of the three subjects.