Question 4 - A-Level Maths

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

1. Find how many different four-digit numbers can be made using only the digits 1, 3, 5 and 6 with no digit being repeated.
2. Find how many different odd numbers greater than 500 can be made using some or all of the digits \(1,3,5\) and 6 with no digit being repeated.
Six cards numbered 1,2,3,4,5,6 are arranged randomly in a line. Find the probability that the cards numbered 4 and 5 are not next to each other.