What would be the second number in row 23?
Row 0= 1
Row 1= 1 1
Row 2= 1 2 1
Row 3= 1 3 3 1
Row 4= 1 4 6 4 1
A.1
B.23
C.44
D.46
B?
I agree.
Thank you
You're welcome.
To determine the second number in row 23, you can use Pascal's Triangle, which is the pattern shown in the given rows. Each number in the triangle is obtained by adding the two numbers directly above it.
Starting from row 0, the pattern is as follows:
Row 0: 1
Row 1: 1 1
Row 2: 1 2 1
Row 3: 1 3 3 1
Row 4: 1 4 6 4 1
To find the second number in row 23, we need to calculate the entire row using Pascal's Triangle. However, you can use the binomial coefficient formula to find the specific number you need.
The formula for the nth number (kth number from the left) in the mth row is given by:
C(m-1, k-1) = (m-1)! / ((k-1)! * (m-k)!)
In this case, we want to find the second number (k=2) in the 23rd row (m=23).
Using the formula, we have:
C(23-1, 2-1) = 22! / (1! * 21!)
Simplifying the formula, we have:
22! / 1! * 21! = 22
Therefore, the second number in row 23 is 22.
So, the correct answer is not listed among the options provided.