Formation of Geometrical Figures ⦿ Number of straight lines from given n points:Given, there are ‘n’ points in a plain. no three of them are collinear, then number of straight lines is same as number...
Factor Theory Concept ⇒ Consider a composite number n ⇒ n = aᵖbᑫcʳ………..where a, b, c are prime numbers & p, q, r are natural numbers.ThenNumber of factors of n is given...
Selection from identical object/article. The total number of ways of selecting one or more things from ‘p’ identical things of one type, ‘q’ identical things of another type, ‘r’ identical things of another type and ‘n’...
⦿ The total number of combination of n different things taken one or more at a time = 2ⁿ – 1Proof:-Method (1):- Total distinct things = nfor ‘1ˢᵗ’ thing there are 2 ways of selection: included or excludedsimilarly, for ‘2ⁿᵈ’ thing there...
Permutation & Combination PNC Introduction of selection/combination:- Let us assume that Suresh has 5 friends A, B, C, D, E and he want to invite 2 of them for a...
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