Hands-On Probability and Statistics: Advanced Techniques and Applications - Part 3

Hands On: Probability and Statistics -3

Problem Statement
The teacher wants a group to be formed for the upcoming dance competition. She wants a group of 5 dancers consisting of 3 boys and 2 girls. In how many ways can a group of 5 dancers be formed by selecting 3 boys out of 6 and 2 girls out of 5? Help her out!

Write a function that returns the number of ways a group of 5 dancers consisting of 3 boys and 2 girls can be formed.

Hint:
Use the function math.factorial()

Function Description
Function Name: dancers()
1. Output:
Returns an integer denoting the number of ways can a group of 5 dancers be formed by selecting 3 boys out of 6 and 2 girls out of 5

Solution Code

import math

def dancers():
    '''
    output: ans : Integer
    '''
    #Write your code here
    #Assign your value to variable ans
     # Number of ways to select 3 boys out of 6
    # Number of ways to select 3 boys out of 6
    boys_ways = math.comb(6, 3)
    # Number of ways to select 2 girls out of 5
    girls_ways = math.comb(5, 2)
    # Total number of ways to select 5 dancers consisting of 3 boys and 2 girls
    total_ways = boys_ways * girls_ways
    ans = total_ways
    return int(ans) 
     

if __name__=='__main__':
	print(dancers())