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To find the values in row 135 of Pascal's Triangle, we use the formula C(n, k) = n! / (k! * (n-k)!), where n is the row number and k is the position in the row. In row 135, the values would be calculated as C(135, 0), C(135, 1), C(135, 2), ..., C(135, 135). These values would be 1, 135, 9030, 496005, and so on, following the pattern of Pascal's Triangle.
Oh, dude, row 135 of Pascal's Triangle is like a treasure chest of numbers. If you're into specifics, the numbers in that row go from 1 at the beginning, then 134, 7315, 23426, 52474, 84766, 98280, 81719, 48450, 19635, 5240, 837, 91, 6, 0. It's like a math party in there!
Row 135 of Pascal's triangle consists of the numbers 1, 134, 8930, 528666, 29229275, 1555965400, 81477365040, and so on. Each number in the row is calculated by adding the two numbers above it in the previous row. So, if you're feeling adventurous and have some time to kill, you can keep going and calculate the entire row for some fun math practice.
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How the pascal triangle is made?
it is made by adding the outer digits as all the outer digits are 1. what your suppose to do is add the outer digits and you will get your pascals triangle. for example,, if there is 1 on both the sides then you add 1+1=2 so in the same way just keep adding and their you will have your pascals triangle. description by- anmol chawla of pathways world school
What does the 22nd row of Pascal triangle look like?
The terms in row 22 are 22Cr where r = 0, 1, 2, ..., 22. 22Cr = 22!/[r!*(22-r)!] where r! = r*(r-1)*...*3*2*1 and 0! = 1
Pascal's triangle how it it used in binomial expansion?
You can find the coefficients of an expanded binomial using the numbers in Pascal's triangle. 1 1 1 2 1 1 3 3 1 1 4 6 4 1 1 5 10 10 5 1 1 6 15 20 15 6 1 1 7 21 35 35 21 7 1 These are a few rows of Pascals triangle. Now let's look at a few binomials, expanded to the second and third powers. (a+b)2=a2 +2(ab) + b2 notice the coefficients are the numbers in the second row of the triangle above. (a+b)3= a3+3(a2b)+3(ab2)+b3 and once again note that the coefficients are the numberin the third line of Pascal's triangle. The first line, by the way, which is 1,1 is the coefficient of (a+b)1 This will work for any power of the binomial. There are generalized form for non-integer powers.
What is a 3 digit number divisble by 5 and 9?
The answer is 135. 15 times 9 equals 135 27 times 5 equals 135
What shape has 3 sides and 1 right angle?
right angled triangle
What is the 5th row on pascals triangle?
1,4,6,4,1
What is the sum of the 17th row of pascals triangle?
the sum is 65,528
What is the sum of the numbers in the 5th row of pascals triangle?
depends. If you start Pascals triangle with (1) or (1,1). The fifth row with then either be (1,4,6,4,1) or (1,5,10,10,5,1). The sums of which are respectively 16 and 32.
What is the sum of the 4 th row of pascals triangle?
The sum is 24 = 16
How is the pascal triangle and the binomial expansion related?
If the top row of Pascal's triangle is "1 1", then the nth row of Pascals triangle consists of the coefficients of x in the expansion of (1 + x)n.
What numbers are in the fifth row of pascals triangle?
1 5 10 10 5 1
What is the sum of fifth row of Pascals triangle?
The Fifth row of Pascal's triangle has 1,4,6,4,1. The sum is 16. Formula 2n-1 where n=5 Therefore 2n-1=25-1= 24 = 16.
What is row ten of pascals triangle?
1, 9, 36, 84, 126, 126, 84, 36, 9, 1
What is the sum of the 100th row of pascals triangle?
Sum of numbers in a nth row can be determined using the formula 2^n. For the 100th row, the sum of numbers is found to be 2^100=1.2676506x10^30.
Examples of Pascals triangle?
Pascal's triangle
How many odd numbers are in the 100th row of Pascals triangle?
The number of odd numbers in the Nth row of Pascal's triangle is equal to 2^n, where n is the number of 1's in the binary form of the N. In this case, 100 in binary is 1100100, so there are 8 odd numbers in the 100th row of Pascal's triangle.
Who first named the triangle pascals triangle?
pascal
