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Given 7 Flags of Different Colours, How Many Different Signals Can Be Generated If a Signal Requires the Use of Two Flags, One Below the Other?

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Question

Given 7 flags of different colours, how many different signals can be generated if a signal requires the use of two flags, one below the other?

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Solution

Number of flags = 7
∴ Number of ways of selecting one flag = 7
Number of ways of selecting the other flag = 6 (as only 6 colours are available for use)
A signal requires use of two flags
∴ Total number of signal that can be generated = `7xx6=42`

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Chapter 16: Permutations - Exercise 16.2 [Page 15]

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R.D. Sharma Mathematics [English] Class 11
Chapter 16 Permutations
Exercise 16.2 | Q 11 | Page 15

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