Difference between revisions of "FMM17"
From charlesreid1
(Created page with "{{FMM title=A Binomial Problem problem= <math> \binom{16}{4} = \binom{16}{2r+1} </math> Find r. answer= First, if we solve it naively, we get r = 2r + 1 r = 1 r = ...") 

Line 5:  Line 5:  
<math>  <math>  
\binom{16}{4} = \binom{16}{2r+1}  \binom{16}{4} = \binom{16}{2r+1}  
+  </math>  
+  
+  Find r.  
+  
+  Challenge problem:  
+  
+  <math>  
+  \binom{120}{r} = \binom{120}{3r+4}  
</math>  </math>  
Line 36:  Line 44:  
This is something we may implicitly assume, due to our own understanding of the nature of the binomial numbers and Pascal's Triangle. We just have to cover all our bases.  This is something we may implicitly assume, due to our own understanding of the nature of the binomial numbers and Pascal's Triangle. We just have to cover all our bases.  
+  
+  Challenge problem:  
+  
+  r = (120  4)/(1 + 3) = 29  
}}  }} 
Revision as of 10:32, 4 December 2019
Friday Morning Math Problem
A Binomial Problem
Find r.
Challenge problem:
Find r.
Solution 

{{{solution}}}

Flags
Friday Morning Math Problems weekly math problems
Spider Socks and Shoes FMM1 Sums of Powers of 2 FMM2 Fifty Coins FMM3 The Zeta Monogram FMM4 The Cthulhus Monogram FMM4B Multiplication Logic FMM5 The Termite and the Cube FMM6 Sharing Dump Trucks FMM7 The Flippant Juror FMM8 Bus Routes FMM9 A Robust Bus System FMM9B SquareFree Sequence FMM10 Inferring Rule from Sequence FMM11 Checkerboard Color Schemes FMM12 OneHanded Chords FMM13 First Ace FMM14 Which Color Cab FMM15 Petersburg Paradox Revisited FMM16 A Binomial Challenge FMM17 A Radical Sum FMM18 Memorable Phone Numbers FMM19 Arrange in Order FMM20
Category:Puzzles · Category:Math Flags · Template:FMMFlag · e 