in how many ways can the given diagram be coloured subject to each other smaller triangle is to be painted with one of the three colours green red or blue note to others and regions have the same colour
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1
Answer:
24
Step-by-step explanation:
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Step-by-step explanation:
These conditions are satisfied exactly when we do as follows: First paint the central triangle in any one of the three colours. Next paint the remaining 3 triangles, with any one of the remaining two colours. By the fundamental principle of counting, this can be done in 3 × 2 × 2 × 2 = 24 ways.
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