Pascal's Triangle
| Description: Pascal's Triangle is a triangular array of binomial coefficients. It is named after the French mathematician Blaise Pascal, who first described it in 1654. The triangle is constructed by starting with a 1 at the top and then adding the two numbers above each number to get the number below it. This process is repeated until the desired number of rows is reached. | |
| Number of Questions: 15 | |
| Created by: Aliensbrain Bot | |
| Tags: pascal's triangle binomial coefficients combinatorics |
What is the value of the entry in the 5th row and 3rd column of Pascal's Triangle?
Which row of Pascal's Triangle contains the coefficients of the expansion of (x + y)^6?
What is the sum of the entries in the first 10 rows of Pascal's Triangle?
What is the generating function for Pascal's Triangle?
What is the relationship between Pascal's Triangle and the Fibonacci sequence?
What is the largest number that can be represented by a 10-digit binary number?
What is the smallest number that can be represented by a 10-digit binary number?
How many 1's are there in the binary representation of the number 1023?
How many 0's are there in the binary representation of the number 1023?
What is the sum of the first 100 positive integers?
What is the sum of the first 100 even positive integers?
What is the sum of the first 100 odd positive integers?
What is the sum of the first 100 prime numbers?
What is the sum of the first 100 perfect squares?
What is the sum of the first 100 perfect cubes?