let a=C(7,4), b=C(7,5), c=C(7,6), d=C(7,7). if there are 7 points on the plane, no three of which are collinear, what represent the total number of polygons that can be formed with at least 5 sides.
a. a+b
b. c+d
c. a+b+c
d. b+c+d
Answers
Answer:
c dahil yan Ang answer ko sabi ni ate
Given : a=C(7,4), b=C(7,5), c=C(7,6), d=C(7,7).
a = ⁷C₄ , b=⁷C₅ , c = ⁷C₆ , d = ⁷C₇
7 points on the plane, no three of which are collinear,
To Find : total number of polygons that can be formed with at least 5 sides.
Solution:
Total Points = 7
Polygon with 5 sides required 5 points
5 points out of 7 can be selected in ⁷C₅ ways hence b
Polygon with 6 sides required 6 points
6 points out of 7 can be selected in ⁷C₆ ways hence c
Polygon with 7 sides required 7points
7 points out of 7 can be selected in ⁷C₇ ways hence d
Total polygons
⁷C₅ + ⁷C₆ + ⁷C₇
= b + c + d
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