Topic Details (Notes format)

How to Use the Factorial Function (n!)

Subject: Mathematics

Book: Maths Mastery

The factorial of n, denoted n!, is the product of all positive integers up to n (e.g., 5!=120). Factorials appear in permutations, combinations (nCr = n! / [r!(n-r)!]), and expansions. For large n, the numbers grow rapidly. Factorials are key to gamma functions, probability distributions (Poisson), and combinatorial logic. Understanding them fosters quick problem-solving in arrangement tasks, advanced series expansions, or bridging to continuous extensions in advanced calculus or physics contexts.

Practice Questions

If 5x - 2 = 13, what is the value of x?

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A sum triples in 20 years at simple interest. What is the rate of interest per annum?

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If x:y = 2:3 and z:y = 4:3, what is x:z?

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If a = 4 and b = 5, what is the value of (a+b)^2?

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A rectangle has an area of 48 cm² and a length of 8 cm. What is its width?

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If the radius of a circle is 7 cm, what is its circumference?

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If 2x = 16, what is the value of x?

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A sum of money doubles itself in 5 years at simple interest. What is the rate of interest?

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The angles of a quadrilateral are in the ratio 3:4:5:6. What is the largest angle?

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If the cost price of an item is Rs. 400 and the selling price is Rs. 500, what is the profit percentage?

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