Getting binomial coefficient of a number in Julia – binomial() Method

The binomial() is an inbuilt function in julia which is used to return the binomial coefficient which is the coefficient of the kth term in the polynomial expansion of . Its formula is –

, where is the factorial of n. If n is negative, then it is defined in terms of the identity

.

Syntax: binomial(n::Integer, k::Integer) Parameters:

• n: Specified number
• k: Specified number

Returns: It returns the binomial coefficient .

Example 1:

# Julia program to illustrate
# the use of binomial() method

# Getting the binomial coefficient
println(binomial(6, 4))
println(factorial(6) ÷ (factorial(6-4) * factorial(4)))

Output:

15
15

Example 2:

# Julia program to illustrate
# the use of binomial() method

# Getting the binomial coefficient
println(binomial(6, 3))
println(binomial(-6, 3))
println(binomial(-6, -2))
println(binomial(5, 2))

Output:

20
-56
0
10