An English examination consists of 8 questions in Part A and 3 questions in Part B...

[Amresh]

An English examination consists of 8 questions in Part A and 3 questions in Part B. Candidates must choose 6 questions. The order in which questions are chosen does not matter. Find the number of ways in which the 6 questions can be chosen in each of the following cases.
(i) There are no restrictions on which questions can be chosen. [1]
(ii) Candidates must choose at least 4 questions from Part A. [3]
(iii) Candidates must either choose both question 1 and question 2 in Part A, or choose neither of these questions.

 

[stapel]

An English examination consists of 8 questions in Part A and 3 questions in Part B. Candidates must choose 6 questions. The order in which questions are chosen does not matter. Find the number of ways in which the 6 questions can be chosen in each of the following cases.
(i) There are no restrictions on which questions can be chosen. [1]
(ii) Candidates must choose at least 4 questions from Part A. [3]
(iii) Candidates must either choose both question 1 and question 2 in Part A, or choose neither of these questions.

The first part, (i), is a straightforward matter of "eleven, choose six". Where are you stuck in applying the formula they gave you?

When you reply, please show all of your work so far on each of the three parts of the question. Thank you!