MathsNet: B - The Binomial Distribution - Factorial

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Page ID: 1946

B | The Binomial Distribution | Combinations | «Factorial»

In how many ways can you arrange the five numbers 1, 2, 3, 4, 5?
Think about the number of choices: five for the first choice, four for the second, and so on, so the number of ways is:
5 \times 4 \times 3 \times 2 \times 1 = 120

This calculation is called 5 factorial and is written 5!

In general for any positive integer n , n! = n(n-1)(n-2)... 1 \quad and 0! = 1.

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This question appears in the following syllabi:

Syllabus	Module	Section	Topic	Exam Year
AQA A-Level (UK - Pre-2017)	S1	The Binomial Distribution	Combinations	-
AQA AS Maths 2017	Pure Maths	Binomial Expansion	Permutations and Combinations	-
AQA AS/A2 Maths 2017	Pure Maths	Binomial Expansion	Permutations and Combinations	-
CBSE XI (India)	Algebra	Permutation and Combinations	Factorial	-
CCEA A-Level (NI)	S1	The Binomial Distribution	Combinations	-
CIE A-Level (UK)	S1	The Binomial Distribution	Combinations	-
Edexcel A-Level (UK - Pre-2017)	S2	The Binomial Distribution	Combinations	-
Edexcel AS Maths 2017	Statistics	Statistical Distributions	Permutations and Combinations	-
Edexcel AS/A2 Maths 2017	Statistics	Statistical Distributions	Permutations and Combinations	-
I.B. Higher Level	7	The Binomial Distribution	Combinations	-
Methods (UK)	M15	The Binomial Distribution	Combinations	-
OCR A-Level (UK - Pre-2017)	S1	The Binomial Distribution	Combinations	-
OCR AS Maths 2017	Statistics	Discrete and Binomial Distributions	Permutations and Combinations	-
OCR MEI AS Maths 2017	Statistics	The Binomial Distribution	Permutations and Combinations	-
OCR-MEI A-Level (UK - Pre-2017)	S1	The Binomial Distribution	Combinations	-
Pre-U A-Level (UK)	Prob	The Binomial Distribution	Combinations	-
Universal (all site questions)	B	The Binomial Distribution	Combinations	-
WJEC A-Level (Wales)	S1	The Binomial Distribution	Combinations	-