Presentation on theme: "The Binomial Theorem Pascal Triangle Binomials raised to a power!"— Presentation transcript:
1The Binomial TheoremPascal TriangleBinomials raised to a power!
2Combination A symbol is introduced to represent this selection. There are 5 top students in this class. If I would like to select 2 students out of these five to represent this class. How many ways are there for my choice?List of the combinations ( order is not considered) :(1,2), (1,3), (1,4), (1,5), (2,3), (2,4), (2,5), (3,4), (3,5), (4,5)A symbol is introduced to represent this selection.nCr or nCr or Cnr
9The Binomial Theorem (Binomial expansion) Coefficients are arranged in a Pascal triangle.Summation of the indices of each term is equal to the power (order) of the expansion.The first term of the expansion is arranged in descending order after the expansion.The second term of the expansion is arranged in ascending order order after the expansion.Number of terms in the expansion is equal to the power of the expansion plus one.