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tmua.me Medium Set B Paper 1 · Q19

Paper 1Algebra

The numbers a0,a1,…,a9a_0,a_1,\ldots,a_9 are defined by

(1+x)9=a0+a1x+⋯+a9x9.(1+x)^9=a_0+a_1x+\cdots+a_9x^9.

Which of the following is equal to

a0a1+a1a2+⋯+a8a9 ?a_0a_1+a_1a_2+\cdots+a_8a_9\,?
A(94)(95)\binom94\binom95
B(187)\binom{18}{7}
C(189)\binom{18}{9}
D2(188)2\binom{18}{8}
E2172^{17}
F(188)\binom{18}{8}

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