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MASTER BINOMIAL AND PROOF
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0.WHY BINOMIAL EXPANSION
1.INTRODUCING BINOMIAL EXPANSION
2.USING GRAPHICS CALCULATOR TO FIND COEFFICIENTS
3.BINOMIAL EXPANSION WITH NATURAL POWERS
4.FINDING CERTAIN TERMS OF OUR EXPANSION
5.BINOMIAL EXPANSION WITH INTEGER POWERS
0.WHY ARRANGEMENTS AND SELECTIONS
1.ARRANGEMENTS AND FACTORIALS
2.FACTORIALS AND PERMUTATIONS
3.COMBINATIONS
4.LINKING COMBINATIONS AND BINOMIAL COEFFICIENTS
5.PROOF OF COMBINATIONS PROPERTY
0.WHY PROOFS
1.DEDUCTIVE PROOFS
2.DISPROVING BY COUNTEREXAMPLE
3.PROVING BY CONTRADICTION
4.PROVING BY INDUCTION
5.FACTORIAL PROOF BY INDUCTION
6.DIVISIBILITY PROOF BY INDUCTION
7.DERIVATIVE PROOF BY INDUCTION
8.PROOF OF SUMS BY INDUCTION
9.PROOF OF BINOMIAL THEOREM BY INDUCTION
SECTION 1: BINOMIAL EXPANSION
0.WHY BINOMIAL EXPANSION
Preview
1.INTRODUCING BINOMIAL EXPANSION
Preview
2.USING GRAPHICS CALCULATOR TO FIND COEFFICIENTS
3.BINOMIAL EXPANSION WITH NATURAL POWERS
4.FINDING CERTAIN TERMS OF OUR EXPANSION
5.BINOMIAL EXPANSION WITH INTEGER POWERS
SECTION 2: ARRANGEMENTS AND SELECTIONS
0.WHY ARRANGEMENTS AND SELECTIONS
Preview
1.ARRANGEMENTS AND FACTORIALS
2.FACTORIALS AND PERMUTATIONS
3.COMBINATIONS
4.LINKING COMBINATIONS AND BINOMIAL COEFFICIENTS
5.PROOF OF COMBINATIONS PROPERTY
SECTIONS 3: PROOFS
0.WHY PROOFS
Preview
1.DEDUCTIVE PROOFS
2.DISPROVING BY COUNTEREXAMPLE
3.PROVING BY CONTRADICTION
4.PROVING BY INDUCTION
5.FACTORIAL PROOF BY INDUCTION
6.DIVISIBILITY PROOF BY INDUCTION
7.DERIVATIVE PROOF BY INDUCTION
8.PROOF OF SUMS BY INDUCTION
9.PROOF OF BINOMIAL THEOREM BY INDUCTION
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