a. An art gallery displays 10 paintings in a row.

Of these paintings, 5 are by Picasso, 4 by Monet and 1 by turner.

i. Find the number of different ways the paintings can be displayed if there are no restrictions.

ii Find the number of different ways the paintings can be displayed if the paintings by each of the artists are kept together.

b. A committee of 4 senior students and 2 junior students is to be selected from a group of 6 senior students and 5 junior students.

i. Calculate the number of different committees that can be selected.

One of the 6 senior students is a cousin of one of the 5 junior students.

ii. Calculate the number of different committees which can be selected if at most one of these cousins is included.