Read the following information carefully and answer the the questions that follow. (i) There are six students (A, B, C, D, E and F) in a group. Each student can opt for only three choices out of the six which are music, reading, painting, badminton, cricket and tennis.
(ii) A, C and F like reading
(iii) D does not like badminton, but likes music.
(iv) Both B and E like painting and music.
(v) A and D do not like painting, but they like cricket.
(vi) All student except one like badminton.
(vii) Two students like tennis
(viii) F does not like cricket, music and tennis.
How many students like painting and badminton?