Question 5 - A-Level Maths

Exam Board	CAIE
Module	S1 (Statistics 1)
Year	2009
Session	November
Topic	Permutations & Arrangements
Type	Digit arrangements forming numbers

Find how many numbers between 5000 and 6000 can be formed from the digits 1, 2, 3, 4, 5 and 6
1. if no digits are repeated,
2. if repeated digits are allowed.
Find the number of ways of choosing a school team of 5 pupils from 6 boys and 8 girls
1. if there are more girls than boys in the team,
2. if three of the boys are cousins and are either all in the team or all not in the team.