Fundamental Counting Principle http://www.youtube.com/watch?v=8JDIP4Gr0Nc More Counting Problems http://www.youtube.com/watch?v=saBPqr8wvWc Three More Counting Problems http://www.youtube.com/watch?v=dc0jJnNvfGQ Fundamental Counting Principle, Permutations & Factorials http://www.youtube.com/watch?v=ghTK52LXAfM Permutation Problem - More Difficult http://www.youtube.com/watch?v=ak09ctGE5sM Permutation Formula: Part -1 http://www.youtube.com/watch?v=ecN9w8SZPrU Permutation Formula: Part -2 http://www.youtube.com/watch?v=8UI2zOjtMCU Partial Permutation Problem Example 1 http://www.youtube.com/watch?v=1IzPtK8n6kY Partial Permutation Problem Example 2 http://www.youtube.com/watch?v=S77aRz7tFSE Partial Permutation Problem Example 3 http://www.youtube.com/watch?v=u1d66FXS224 Partial Permutation Problem Example 4 http://www.youtube.com/watch?v=QWKvzL4RUEQ Permutations With Repeats Part A http://www.youtube.com/watch?v=tiKGbc2aImo Permutations With Repeats Part B http://www.youtube.com/watch?v=T9Di4H9o_y8 Combinations Formula Part A http://www.youtube.com/watch?v=FlT4E5QO0bY Combinations Formula Part B http://www.youtube.com/watch?v=l-YJI-9d9CA Combination Problem Example 1 http://www.youtube.com/watch?v=2Ydk4qW1w60 Combination Problem Example 2 http://www.youtube.com/watch?v=8LW9Bx_HaTk Combination Problems Examples 3 & 4 http://www.youtube.com/watch?v=iNBzeYZHSjQ Combination Problem Example 5 [Combination & Permutation] http://www.youtube.com/watch?v=BX-IMFI63_0 Combination Problem Example 6 [Combination & Partial Permutation] http://www.youtube.com/watch?v=BuWgsaSIhRM Combination Problem Example 7 [Combination & Partial Permutation] http://www.youtube.com/watch?v=aLPxTZXplkA Combination Problem Example 8 [Combination & Partial Permutation] http://www.youtube.com/watch?v=fGcBD1LApy0 Combination Problem Example 9 [Combination & Partial Permutation] http://www.youtube.com/watch?v=qAxSPiDeqnA Binomial Expansion Theorem: Introduction & Example http://www.youtube.com/watch?v=_ZQrtNVp_1o Binomial Expansion Theorem: Example 2 http://www.youtube.com/watch?v=T6Q4EiIsWgU Binomial Expansion Theorem & Pascal's Triangle http://www.youtube.com/watch?v=TDE1xWm0ZD4 Taylor Series & Binomial Expansion Part 1 http://www.youtube.com/watch?v=QMJvRNFhEGc Taylor Series & Binomial Expansion Part 2 http://www.youtube.com/watch?v=0Wx_y2S1Dho Taylor Series & Binomial Expansion Part 3 http://www.youtube.com/watch?v=Ll8Srw535Gs Taylor Series & Binomial Expansion Part 4: Negative Exponents http://www.youtube.com/watch?v=K2CX0IwdqrA Taylor Series & Binomial Expansion Part 5: Negative Exponents - Continued http://www.youtube.com/watch?v=86B53RO1c1Q Taylor Series & Binomial Expansion Part6: Negative Exponents - Conclusion http://www.youtube.com/watch?v=jaETWE0o56g Binomial Expansion With Negative Exponent: Example 1 http://www.youtube.com/watch?v=r9CFj2bejsE Binomial Expansion With Negative Exponent: Example From Physics http://www.youtube.com/watch?v=WfrIlqVXyKs Combinations & Generating Functions: Introduction And Example http://www.youtube.com/watch?v=WiprqTxGcJw Simple Combination Problems Solved With Generating Functions http://www.youtube.com/watch?v=fL2zQii4B5E More Difficult Combination Problem Solved With Generating Function http://www.youtube.com/watch?v=V9Pf2f3VG4U Combination With Repeats: Review http://www.youtube.com/watch?v=9x5I0n9yT8c Combination Problem With Repeats Solved With Generating Function http://www.youtube.com/watch?v=gkZUFRkRQwU Combination Problem With Repeats Solved With Gen. Function #2 http://www.youtube.com/watch?v=LKiQzeakRTY Combination Problem With Repeats Solved With Gen. Function #3 http://www.youtube.com/watch?v=3YYaaR9hxjc Combination Problem With Repeats Solved With Gen. Function #4 http://www.youtube.com/watch?v=v1GYbnov_bE Difficult Combination Problem Solved With Gen. Function #5 Part A http://www.youtube.com/watch?v=TcsFCWCkesE Difficult Combination Problem Solved With Gen. Function #5 Part B http://www.youtube.com/watch?v=1gc74UmY5PA Combination Problem Solved With Generation Function: Example 6 Part A http://www.youtube.com/watch?v=Hs0uiukNtNA Combination Problem Solved With Generation Function: Example 6 Part B http://www.youtube.com/watch?v=HjZkWQ8we_k Combination Problem Solved With Generation Function: Example 7 Part A http://www.youtube.com/watch?v=0Xz10gGeEgQ Combination Problem Solved With Generation Function: Example 7 Part B http://www.youtube.com/watch?v=PIVSZMvwecY Ordinary Generating Functions: Finding The Coefficient http://www.youtube.com/watch?v=guYblA-baag Ordinary Generating Functions: Finding The Coefficient - Another Example http://www.youtube.com/watch?v=4Sl_v9oePV8 Permutations And Exponential Generating Functions: Introduction & Example Part A http://www.youtube.com/watch?v=fPDNQpZTcoo Permutations And Exponential Generating Functions: Introduction & Example Part B http://www.youtube.com/watch?v=RhIKgHZTU9I Permutations & Exponential Generating Functions: Example#2 http://www.youtube.com/watch?v=LKiQzeakRTY Permutations & Exponential Generating Functions: Example#3 - Finding Coefficients http://www.youtube.com/watch?v=OXvL6e7m30Q Permutations & Exponential Generating Functions: Example #4 http://www.youtube.com/watch?v=P_aFn5ZI-Tk Permutations & Exponential Generating Functions: Example #5 http://www.youtube.com/watch?v=TXCLyNjyQEg Permutations & Exponential Generating Functions: Example #6 http://www.youtube.com/watch?v=sVsrHcCtWmc Permutation Problem From Statistical Physics: Example #1( Maxwell-Boltzmann Statistics) Part A http://www.youtube.com/watch?v=FEZrY8sv6T8 Permutation Problem From Statistical Physics: Example #1 From Maxwell-Boltzmann Statistics Part B http://www.youtube.com/watch?v=IGvJ9c0x-zA Permutation Problem From Statistical Physics Example #2 (Bose-Einstein Statistics) http://www.youtube.com/watch?v=nnc1FCwmrSI Permutation Problem From Statistical Physics Example #3 (Fermi-Dirac Statistics) http://www.youtube.com/watch?v=icmahCi_Y4U Probability Problem Solved With Simple Combinations http://www.youtube.com/watch?v=5IUOGhCn_vU Probability Problem Solved With Combinations Example #2 http://www.youtube.com/watch?v=nH8EL6Tsn_Y Probability Problem #3: Compound Events - Mutually Exclusive http://www.youtube.com/watch?v=IOMiXh-rN70 Probability Problem #4 Compound Events Again-Mutually Exclusive http://www.youtube.com/watch?v=PF6WikoVptQ Probability Problem #5 Part 1: Another Demonstration Of Combinations (Long Example) http://www.youtube.com/watch?v=cp4obnG1_Cw Probability Problem #5 Part 2: Another Demonstration Of Combinations (Long Example) http://www.youtube.com/watch?v=lMPzDfWu76A Probability Problem #6 Part 1: Compound Events (Long Example) http://www.youtube.com/watch?v=RaajKaBTjzg Probability Problem #6 Part2: Compound Events (L0ng Example) http://www.youtube.com/watch?v=eyvvFPPXFZE Probability Problem #7: Conditional Probability Introduction & Example http://www.youtube.com/watch?v=7boJlGfKqC4 Probability Problem #8 Part 1: Conditional Probability Example#2 http://www.youtube.com/watch?v=7boJlGfKqC4 Probability Problem #9: Conditional Probability Example#3 http://www.youtube.com/watch?v=7boJlGfKqC4 Probability Problem #10: Bernoulli Trials Example#1 http://www.youtube.com/watch?v=VLFPqm2GQCI Probability Problem #11: Bernoulli Trials Example#2 http://www.youtube.com/watch?v=2Oy-5jLVVIc Probability Problem #12: Bernoulli Trials Example#3 http://www.youtube.com/watch?v=OLf6cjW3FGY |