Mathematics 9709 · AS & A Level · Sampling and estimation
Sampling and estimation — practice question
Find the number of distinct 3-digit numbers exceeding 300 that may be made from the digits 1, 2, 3, 4, 6, 8 if
(a(i))[3]
each digit may be used only once.
(a(ii))[3]
a digit may be repeated and the resulting number is even.
(b(i))[1]
A team of 5 is to be selected from 6 boys and 4 girls. Find the number of possible selections if there are no restrictions.
(b(ii))[3]
A team of 5 is to be selected from 6 boys and 4 girls. Find the number of possible selections if the team contains more boys than girls.
Worked solution & mark scheme
This 10-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Working from the possible first and last digits or from the total number of values” …