2.18: Cricket team with twins

0606/23/O/N/18 — Question 7 · 7 marks

A squad of 20 boys, which includes 2 sets of twins, is available for selection for a cricket team of 11 players.

(i)

Calculate the number of different teams that can be selected if there are no restrictions.

[1]

(ii)

Calculate the number of different teams that can be selected if both sets of twins are selected.

[2]

(iii)

Calculate the number of different teams that can be selected if one set of twins is selected but neither twin from the other set is selected.

[2]

(iv)

Calculate the number of different teams that can be selected if exactly one twin from each set of twins is selected.

[2]