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tmua.co.uk TMUA Mock Paper 1 · Q17

Paper 1Sequences & series

Let

S=∑r=019(−1)r(32r)(3213+r).S=\sum_{r=0}^{19}(-1)^r\binom{32}{r}\binom{32}{13+r}.

Evaluate SS.

A00
B(329)\binom{32}{9}
C(3210)\binom{32}{10}
D(3213)\binom{32}{13}
E(3215)\binom{32}{15}
F(3216)\binom{32}{16}

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