What is an expression for the distance between the origin and a point P(x, y)? Group of answer choices $LaTeX: d=\sqrt{x^2-y^2} d = x 2 − y 2 LaTeX: d=\sqrt{y^2-x^2} d = y 2 − x 2 LaTeX: d=0 d = 0 LaTeX: d=\sqrt{x^2+y^2}$

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lilinicholeb

17.08.2022

Mathematics

How many different three colour flags (tricolors) can be designed using green, blue, red, yellow and black stripes if all three colours must be different?
6P3 = 6!/(6 - 3)! = 6!/3! = (6 x 5 x 4 x 3 x 2 x 1)/(3 x 2 x 1) = 720/6 = 120 flags.

How many of them contain a red stripe?
The remaining two colours can be arranged in 5P2 = 5!/(5 - 2)! = 5!/3! = (5 x 4 x 3 x 2 x 1)/(3 x 2 x 1) = 120/6 = 20ways
The red stripe can arranged in 3 ways
Therefore, number of flags having red stripe is 20 x 3 = 60 flags.

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