Bunuel
The flag of country Peralia has to contain three differently colored stripes of the same width, all of which must be positioned either vertically or horizontally. If the flag of Peralia must consist of the national colors, which include green, red, yellow, black, and blue, how many different flags can be created?
(A) 24
(B) 48
(C) 60
(D) 120
(E) 240
Gentle note to all experts and tutors: Please refrain from replying to this question until the Official Answer (OA) is revealed. Let students attempt to solve it first. You are all welcome to contribute posts after the OA is posted. Thank you all for your cooperation!The flag has to contain THREE different colour strips, and can be positioned either Horizontally or Vertically.
We have 5 different colours - green, red, yellow, black, and blue.
We need to choose three colours out of Five different colours = 5C3 = 10 ways.
Arrange the colours = 3! = 6 ways.
Positioning is done in two ways = Horizontal or Vertical = 2 ways.
Total number of Ways = 10*2*6 =
120 ways.
Option D