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Binomial Terms Part 1 GCSE Extended Exam Review by Anil Kumar with Student Amy in London
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Sigma notation for writing binomial expansion of (a+b)^n is
(a+b)^n=∑_(r=0)^n▒(n¦r) n^(n-r) b^r,where,0≤r≤n,(n¦k) is binomial coefficient
(n¦r), read as nCr or “n choose r”. It really signifies the number of choices to select r elements from a group of n elements. It can be calculated as follows:
(n¦r)=n!/(n-r)!r! ,where n!=n(n-1)(n-2)(n-3)…(3)(2)(1)
Sigma notation for writing binomial expansion of (a+b)^n is
(a+b)^n=∑_(r=0)^n▒(n¦r) n^(n-r) b^r,where,0≤r≤n,(n¦k) is binomial coefficient
(n¦r), read as nCr or “n choose r”. It really signifies the number of choices to select r elements from a group of n elements. It can be calculated as follows:
(n¦r)=n!/(n-r)!r! ,where n!=n(n-1)(n-2)(n-3)…(3)(2)(1)