Question

$find \: value \: of \: \binom{3 }{5} + \binom{5}{4} + - \binom{7}{15} + - \binom{3}{8}$
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Answer 1

$\frac{3}{5} +\frac{5}{4} -\frac{7}{15} -\frac{3}{8}$

Find LCM of 5, 4, 15, 8

LCM = 120

$\frac{3*24}{5*24}+ \frac{5*30}{4*30} -\frac{7*8}{15*8} -\frac{3*15}{8*15}\\\\=\frac{72}{120}+\frac{150}{120} -\frac{56}{120} -\frac{45}{120}\\\\=\frac{72+150-56-45}{120}\\\\=\frac{222-101}{120}\\\\=\frac{121}{120}\\\\= 1.008333333$