Edexcel C2 2011 January — Question 5

Exam BoardEdexcel
ModuleC2 (Core Mathematics 2)
Year2011
SessionJanuary
TopicBinomial Theorem (positive integer n)
TypeRatio of coefficients condition
  1. Given that \(\binom { 40 } { 4 } = \frac { 40 ! } { 4 ! b ! }\),
    1. write down the value of \(b\).
    In the binomial expansion of \(( 1 + x ) ^ { 40 }\), the coefficients of \(x ^ { 4 }\) and \(x ^ { 5 }\) are \(p\) and \(q\) respectively.
  2. Find the value of \(\frac { q } { p }\).
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