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Question -

How many different signals can be made from 4 red, 2 white, and 3 green flags by arranging all of them vertically on a flagstaff?



Answer -

Given:

Number of red flags =4

Number of white flags= 2

Number of green flags= 3

So there are total 9flags, out of which 4 are red, 2 are white, 3 are green

By using the formula,

n!/ (p! × q! × r!) =9! / (4! 2! 3!)

= [9×8×7×6×5×4!] /(4!×2×1×3×2×1)

= [9×8×7×6×5] /(2×3×2)

= 9×4×7×5

= 1260

Hence, 1260 differentsignals can be made.

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