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Question:
Please show me how permutations are applicable in sums?
Answer:

Let us take an example.

Ex: How many different signals can be formed using 6 flags of different colours

taking 1 or more flags at a time?

Solution:

Number of signals with one flag = 6

Number of signals with 2 flags = 6P2 = 30

Number of signals with 3 flags = 6P3 = 120

Number of signals with 4 flags = 6P4 = 360

Number of signals with 5 flags = 6P5 = 6! = 720

Number of signals with 2 flags = 6P6 = 720

Total no. of signals = 720 + 720 + 360 + 120 + 30 + 6 = 1956

In this way, permutations are applicable in sums.

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