+0  
 
0
2180
14
avatar+1833 

How many numbers are in the first $20$ rows of Pascal's Triangle

 May 3, 2015

Best Answer 

 #1
avatar+1310 
+15

uh...210. each row has the numbers that the row is for example the 5th row has 5 numbers.

P.S. i do aops too

 May 3, 2015
 #1
avatar+1310 
+15
Best Answer

uh...210. each row has the numbers that the row is for example the 5th row has 5 numbers.

P.S. i do aops too

AWESOMEEE May 3, 2015
 #2
avatar+1833 
0

REALLY?! What's your username?

 May 3, 2015
 #3
avatar+1833 
0

What is the 39th number in the row of Pascal's triangle that has 41 numbers?

 May 3, 2015
 #4
avatar+128599 
+5

1 + 2 + 3 + ....+ 19 + 20  = n (n + 1) / 2   = (20)(21)/ 2  = 210

 

Just as AWESOMEEE  has predicted......nice job  !!!!!

 

  

 May 3, 2015
 #5
avatar+1310 
+8

my username is awesomeee for aops

 May 3, 2015
 #6
avatar+1833 
+5

Ok!! I am mathtime7 lol. My mom made up the name...

 May 3, 2015
 #7
avatar+1310 
0

i...dont know about that 46 row thing

 May 3, 2015
 #8
avatar+1310 
0

i sent u a friend request

 May 3, 2015
 #9
avatar+128599 
+6

Notice Mellie, that the 39th number in row 41  is the same as the 3rd number in that row....= C(41, 2)  = 820 

Also notice  that, using the combinatoric,  [41 - 2]  = 39  tells us which element we're interested in....!!!!

 

  

 May 3, 2015
 #10
avatar+1310 
0

cphill can u anwser my questions?

 May 3, 2015
 #11
avatar+118608 
+5

Muchomath Mellie 

I LIKE IT  !!!!!

 May 4, 2015
 #12
avatar+118608 
+5

Chris and I have both answered some of your questons Awesomeee   ;)

What does aops stand for :/

 May 4, 2015
 #13
avatar+1833 
+5

It stands for ArtOfProblemSolving

 May 5, 2015
 #14
avatar+118608 
+5

Thanks Mellie    

 May 6, 2015

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