Combination Formula nCr and Properties | JEE 2027 Maths (English)
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Combination Formula nCr and Properties | JEE 2027 Maths (English)
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RankDeterminant
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What a combination is and why nCr = nPr / r!: selections where order does not matter, the n!/(r!(n-r)!) formula, the properties nCr = nC(n-r), a particular object always included or excluded, nCr + nC(r-1) = (n+1)Cr, and the sum 2^n, the order-matters trap, and two solved JEE-style problems: committees and handshakes, and a cricket XI.
Chapters
0:00 Introduction
0:34 Combination: a selection, order does not matter
1:46 The formula for nCr
2:18 Property 1: take r, or leave n-r
2:49 More properties
4:07 The trap: first ask, does order matter?
4:51 Example 1: committee of 4 from 9, and 12-person handshakes
6:01 Example 2: cricket XI, one player included or excluded
7:23 Quick revision: nCr formula, properties, does order matter
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Mathematics · Unit 4 · Permutations & Combinations · Chapter 3 · Combinations
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Narrated with a computer voice.