Mathematics 9709 · AS & A Level · Sampling and estimation
Sampling and estimation — practice question
Fahad owns $4$ differently coloured pairs of shoes: white, red, blue and black; $3$ differently coloured pairs of jeans: blue, black and brown; and $7$ differently coloured tee shirts: red, orange, yellow, blue, green, white and purple.
(i)[1]
Fahad selects an outfit made up of one pair of shoes, one pair of jeans and one tee shirt. How many different outfits are possible?
(ii)[2]
In how many different orders can Fahad line up his $3$ jeans and $7$ tee shirts if the two blue items are not next to each other?
(iii)[3]
Fahad also owns $9$ different sport books. When he goes on holiday, he picks at least one of these books to take with him. How many different selections are possible if he may take any quantity from just one book up to all $9$?
Worked solution & mark scheme
This 6-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Accurate evaluation $4 \times 3 \times 7 = 84$” …