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Messages are conveyed by arranging four white, one blue, and three red flags on a pole. Flags of the same color are alike. If a message is transmitted by the order in which the colours are arranged, the total number of messages that can be transmitted if exactly six flags are used is

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By Expert Faculty of Sri Chaitanya
a
45
b
65
c
125
d
185

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detailed solution

Correct option is D

We will consider the following cases:
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Triplet (x, y, z) is chosen from the set {1, 2, 3,, …., n}, such that xy<z .The number of such triplets is

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