FMA o Mebini, Devuo de Oro Quarter/Month: Score: Combination The number of combinations of z objects taken rat a time is C(r)- XMPLE 1 How many ways can you seleet a commitree of 4 students out of 10 students? UTION The arrangement or order of the students chosen is not important. Therefore, this is a combination problem, where n=10 and r=4. C(n,r)= C(10,4)= 10! 4!(10-4)! 10! 4!(6!) 10-9-8-7-61 413 2-1-6! = 210 EXAMPLE 2. How many triangles can be drawn on a plane using 4 non- collinear points? solurION A triangle is a figure formed by three segments joining three (3) non collinear points (r= 3). Ifthere are 4 points (=4) on the plane, then 4! 4.3)= 3:(4-3)! 311! 4.3! 3!

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Counting Principles

In statistics, the counting principle can be said to be the concept in which the quantity of an item is determined. There can be a single item, or a group of items, or items that are related to each other. In every possible set of items, the quantity of the possible item groups or their sorting measures can be determined with counting principles.