In a Pascal's Triangle, List out which of the numbers (n choose k) are even numbers when 0 ≤ k ≤ n ≤ 14 (Don’t forget that the first entry in each row corresponds to k = 0 not k = 1, so count care...

Question

Question

In a Pascal's Triangle, List out which of the numbers (n choose k) are even numbers when 0 ≤ k ≤ n ≤ 14 (Don’t forget that the first entry in each row corresponds to k = 0 not k = 1, so count care...

In a Pascal's Triangle, List out which of the numbers (n choose k) are even numbers when 0 ≤ k ≤ n ≤ 14 (Don’t forget that the first entry in each row corresponds to k = 0 not k = 1, so count carefully.)

math Advanced-Math

Add a comment Improve this question Transcribed image text

Answer 1

Answer #1

Hi Hello. Here is the correct answer. The list of the even numbers are colored in the following image. Please check Carefully. 10 35 126 462 15 15 21 35 21 70 28 84 36 165 715 45 220 2002 1001 252 45 220 1001 10 165 30 462 30 495 924 792 495 6 17161287

Add a comment

Answer 2

Similar Homework Help Questions

Prove: If n=2^(k)−1 for k∈N, then every entry in row n of pascal's triangle is odd.

Prove: If n=2^(k)−1 for k∈N, then every entry in row n of pascal's triangle is odd.
Let M be an n x n matrix with each entry equal to either 0 or 1. Let mij denote the entry in row i and column j. A diago...

Let M be an n x n matrix with each entry equal to either 0 or 1. Let mij denote the entry in row i and column j. A diagonal entry is one of the form mii for some i. Swapping rows i and j of the matrix M denotes the following action: we swap the values mik and mjk for k = 1,2, ... , n. Swapping two columns is defined analogously. We say that M is rearrangeable if...
ANSWER USING JAVA CODE (1)The sum of the squares of the first ten natural numbers is,...

ANSWER USING JAVA CODE (1)The sum of the squares of the first ten natural numbers is, 12 + 22 + ... + 102 = 385 The square of the sum of the first ten natural numbers is, (1 + 2 + ... + 10)2 = 552 = 3025 Hence the difference between the sum of the squares of the first ten natural numbers and the square of the sum is 3025 − 385 = 2640. Find the difference between the...

QUESTION 1 Which statement results in the value false? The value of count is 0; limit...

QUESTION 1 Which statement results in the value false? The value of count is 0; limit is 10. (count != 0)&&(limit < 20) (count == 0)&&(limit < 20) (count != 0)||(limit < 20) (count == 0)&&(limit < 20) 10 points QUESTION 2 If this code fragment were executed in an otherwise correct and complete program, what would the output be? int a = 3, b = 2, c = 5 if (a > b) a = 4; if (...
I need help on this Systems review please! it's due by midnight monday. Question 1 Not...

I need help on this Systems review please! it's due by midnight monday. Question 1 Not yet answered Points out of 1.00 Flag question Question text Using these declarations: int * numberPointers[3]; int * pointer; int number; Which of the following statements would generate a warning or error? Select one: a. number = pointer; b. *pointer = number; c. pointer = numberPointers; d. numberPointers[2] = &number; e. a., b., and d. f. a. and c. Question 2 Not yet answered...
Rules of the leprechaun world The game starts out with n leprechauns. Each leprechaun starts out...

Rules of the leprechaun world The game starts out with n leprechauns. Each leprechaun starts out with a million dollars of gold (i.e., gi = 1,000,000). The player wants to trap as many of these leprechauns in a pit and steal their gold! The leprechauns are all in a row, with each leprechaun at location xi, a double precision floating point number. Initially, the first leprechaun is at x=0, the second at x=1000, the third at 2000, ...; i.e., xi...

Python Program Eratosthenes of Cyrene lived approximately 275-195 BC. He was the first to accurately estimate...

Python Program Eratosthenes of Cyrene lived approximately 275-195 BC. He was the first to accurately estimate the diameter of the earth. For several decades he served as the director and chief librarian of the famous library in Alexandria. He was highly regarded in the ancient world, but unfortunately only fragments of his writing have survived. The algorithm described for this assignment is known as the Sieve of Eratosthenes. The algorithm is designed to find all prime numbers within a given...
C++ Problem The game starts out with n leprechauns. Each leprechaun starts out with a million...

C++ Problem The game starts out with n leprechauns. Each leprechaun starts out with a million dollars of gold (i.e., gi = 1,000,000). The player wants to trap as many of these leprechauns in a pit and steal their gold! The leprechauns are all in a row, with each leprechaun at location xi, a double precision floating point number. Initially, the first leprechaun is at x=0, the second at x=1,000,000, ...; i.e., xi = i*gi, i=0,1,2,.... At every iteration of...
I have a multithreaded java sorting program that works as follows: 1. A list of double...

I have a multithreaded java sorting program that works as follows: 1. A list of double values is divided into two smaller lists of equal size 2. Two separate threads (which we will term sorting threads) sort each sublist using a sorting algorithm of your choice 3. The two sublists are then merged by a third thread merging thread that merges the two sublists into a single sorted list. SIMPLE EXECUTION >java SortParallel 1000 Sorting is done in 8.172561ms when...

1 Overview For this assignment you are required to write a Java program that plays (n,...

1 Overview For this assignment you are required to write a Java program that plays (n, k)-tic-tac-toe; (n, k)-tic- tac-toe is played on a board of size n x n and to win the game a player needs to put k symbols on adjacent positions of the same row, column, or diagonal. The program will play against a human opponent. You will be given code for displaying the gameboard on the screen. 2 The Algorithm for Playing (n, k)-Tic-Tac-Toe The...

In a Pascal's Triangle, List out which of the numbers (n choose k) are even numbers when 0 ≤ k ≤ n ≤ 14 (Don’t forget that the first entry in each row corresponds to k = 0 not k = 1, so count care...

Homework Answers

Add Answer to:
In a Pascal's Triangle, List out which of the numbers (n choose k) are even numbers when 0 ≤ k ≤ n ≤ 14 (Don’t forget that the first entry in each row corresponds to k = 0 not k = 1, so count care...

Post as a guest

Earn Coins

Prove: If n=2^(k)−1 for k∈N, then every entry in row n of pascal's triangle is odd.

Let M be an n x n matrix with each entry equal to either 0 or 1. Let mij denote the entry in row i and column j. A diago...

ANSWER USING JAVA CODE (1)The sum of the squares of the first ten natural numbers is,...

QUESTION 1 Which statement results in the value false? The value of count is 0; limit...

I need help on this Systems review please! it's due by midnight monday. Question 1 Not...

Rules of the leprechaun world The game starts out with n leprechauns. Each leprechaun starts out...

Python Program Eratosthenes of Cyrene lived approximately 275-195 BC. He was the first to accurately estimate...

C++ Problem The game starts out with n leprechauns. Each leprechaun starts out with a million...

I have a multithreaded java sorting program that works as follows: 1. A list of double...

1 Overview For this assignment you are required to write a Java program that plays (n,...

In a Pascal's Triangle, List out which of the numbers (n choose k) are even numbers when 0 ≤ k ≤ n ≤ 14 (Don’t forget that the first entry in each row corresponds to k = 0 not k = 1, so count care...

Homework Answers

Add Answer to: In a Pascal's Triangle, List out which of the numbers (n choose k) are even numbers when 0 ≤ k ≤ n ≤ 14 (Don’t forget that the first entry in each row corresponds to k = 0 not k = 1, so count care...

Post as a guest

Earn Coins

Add Answer to:
In a Pascal's Triangle, List out which of the numbers (n choose k) are even numbers when 0 ≤ k ≤ n ≤ 14 (Don’t forget that the first entry in each row corresponds to k = 0 not k = 1, so count care...