Mathematics 9709 · AS & A Level · Sampling and estimation

Sampling and estimation — practice question

An English examination has $8$ questions in Part A and $3$ in Part B. Candidates must select $6$ questions. The order of selection is irrelevant.
(i)[1]

There are no limits on which questions may be selected. Determine the number of ways the $6$ questions can be chosen.

(ii)[3]

Candidates must select at least $4$ questions from Part A. Determine the number of ways the $6$ questions can be chosen.

(iii)[3]

Candidates must either select both question $1$ and question $2$ in Part A, or select neither of these questions. Determine the number of ways the $6$ questions can be chosen.

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