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  4. Total number of ways of giving at least one coin out of three 25 paise and two 50 paise coins to a beggar is

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Q. Total number of ways of giving at least one coin out of three $ 25$ paise and two $50$ paise coins to a beggar is

KCETKCET 2022

Solution:

given $\Rightarrow 2 \sin 4 x \cos 4 x=1$
$ \Rightarrow \sin 8 x=1$
$\therefore 8 x=n \pi+(-1)^{n} \frac{\pi}{2} $
$ \therefore x=\frac{n \pi}{8}+(-1)^{n} \frac{\pi}{16}$