Subject: Mathematics
Book: Maths Mastery
Combinations focus on ways to choose k items out of n without regard to order, calculated as C(n, k) = n! / [k!(n–k)!]. For instance, to find the number of ways to select 2 fruits from {Apple, Banana, Cherry}, you have 3 choices: AB, AC, BC, which is C(3, 2) = 3. Combinations appear in scenarios like forming committees, picking lottery numbers, or combining flavors in recipes. Understanding the difference between permutations and combinations clarifies everything from business inventory groupings to advanced probability, ensuring a robust combinatorial foundation.
If a number is divisible by 9, it is also divisible by which of the following?
View QuestionA rectangle has an area of 48 cm² and a length of 8 cm. What is its width?
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View QuestionIf a square has a perimeter of 64 cm, what is its area?
View QuestionIf a + b = 10 and ab = 21, what is the value of a^2 + b^2?
View QuestionHow many diagonals does a pentagon have?
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