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There is 4 coins 1 paisa, 5 paise, 10 paise, 25 paise using these coins we have to make 50 paisa how many combination can we make ?
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Coefficient of $x^{50}$ in the following expression

$(x + x^2 + x^3 + x^4) (x^5 + x^{10} + x^{15} + x^{20})(x^{10 }+ x^{20}+ x^{30} + x^{40}) (x^{25} + x^{50} + x^{75} + x^{100} ) )$

$=0   $
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