# JavaScript: Evaluate binomial coefficients

## JavaScript Math: Exercise-20 with Solution

Write a JavaScript program to evaluate binomial coefficients.

*Note*:

Binomial coefficient : According to Wikipedia - In mathematics, binomial coefficients are a family of positive integers that occur as coefficients in the binomial theorem. They are indexed by two nonnegative integers; the binomial coefficient indexed by n and k is usually written \tbinom nk. It is the coefficient of the x k term in the polynomial expansion of the binomial power (1 + x) n. Under suitable circumstances the value of the coefficient is given by the expression :

Arranging binomial coefficients into rows for successive values of n, and in which k ranges from 0 to n, gives a triangular array called Pascal's triangle.

*Test Data*:

console.log(binomial(8,3));

console.log(binomial(10,2));

*Output * :

56

45

**Sample Solution:-**

**HTML Code:**

```
<!DOCTYPE html>
<html>
<head>
<meta charset="utf-8">
<title>Binomial coefficient</title>
</head>
<body>
</body>
</html>
```

**JavaScript Code:**

```
function binomial(n, k) {
if ((typeof n !== 'number') || (typeof k !== 'number'))
return false;
var coeff = 1;
for (var x = n-k+1; x <= n; x++) coeff *= x;
for (x = 1; x <= k; x++) coeff /= x;
return coeff;
}
console.log(binomial(8,3));
console.log(binomial(10,2));
```

Sample Output:

56 45

**Flowchar:**

**Live Demo: **

See the Pen javascript-math-exercise-20 by w3resource (@w3resource) on CodePen.

**Improve this sample solution and post your code through Disqus**

**Previous:** Create a Pythagorean function in JavaScript.

**Next:** Write a JavaScript function that Convert an integer into a Roman numeral.

**What is the difficulty level of this exercise?**

Test your Programming skills with w3resource's quiz.

**Weekly Trends**- Python Interview Questions and Answers: Comprehensive Guide
- Scala Exercises, Practice, Solution
- Kotlin Exercises practice with solution
- MongoDB Exercises, Practice, Solution
- SQL Exercises, Practice, Solution - JOINS
- Java Basic Programming Exercises
- SQL Subqueries
- Adventureworks Database Exercises
- C# Sharp Basic Exercises
- SQL COUNT() with distinct
- JavaScript String Exercises
- JavaScript HTML Form Validation
- Java Collection Exercises
- SQL COUNT() function
- SQL Inner Join