Mathematics 9709 · AS & A Level · Sampling and estimation

Sampling and estimation — practice question

The digits $1, 3, 5, 6, 6, 6, 8$ may be rearranged to make numerous different $7$-digit numbers.

(i)[3]

How many of the $7$-digit numbers have all the even digits together and all the odd digits together?

(ii)[3]

How many of the $7$-digit numbers have an even final digit?

Worked solution & mark scheme

This 6-mark question has a full step-by-step worked solution and mark scheme.