Binomial Coefficients and Fractions

Algebra Level 5

1+12(53)+34(63)+(73)+54(83)+32(93)+74(103)=(ab) 1 + \frac{1}{2}{5\choose3}+\frac{3}{4}{6\choose3}+{7\choose3}+\frac{5}{4}{8\choose3}+\frac{3}{2}{9\choose3}+\frac{7}{4}{10\choose3} = {a\choose b}

It is given that 2ba2b \le a and aa is as small an integer as possible. Determine the value of a+ba+b.

×

Problem Loading...

Note Loading...

Set Loading...