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dmitriy555 [2]
2 years ago
8

Find the number of ways in which a committee of 4 can be chosen from six boys and

Computers and Technology
1 answer:
natima [27]2 years ago
6 0

Answer:

465 ways

Explanation:

Atleast 1 girl and 1 boy

Possible combinations :

1 girl ; 3 boys = 6C1 ; 6C3

2 girls ; 2 boys = 6C2 ; 6C2

3 girls ; 1 boy = 6C3 ; 6C1

(6C1 * 6C3) + (6C2 * 6C2) + (6C3 * 6C1)

Combination formula:

nCr = n! ÷ (n-r)!r!

We can also use a calculator :

6C1 = 6

6C3 = 20

6C2 = 15

Hence,

(6C1 * 6C3) + (6C2 * 6C2) + (6C3 * 6C1)

(6 * 20) + (15 * 15) + (20 * 6)

120 + 225 + 120

= 465 ways

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#include<iostream>  // to use input output functions

using namespace std;     //to identify objects like cin cout

void StartChar(string str)  {  // function that takes a word string as parameter and returns the first letter of that word in capital

   int i;  

   char c;

   do  //start of do while loop

   {

   for (int i = 0; i < str.length(); i++) {  //iterates through each character of the word str

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      c = str.at(i);   // returns the character at position i

       if (! ( ( c >= 'a' && c <= 'z' ) || ( c >= 'A' && c <= 'Z' ) ) ) {  //checks if the input word is contains characters other than the alphabet

            cout<<str<<" is not a word!"<<endl; break;}  //displays this message if user enters characters other than the alphabet

        if (i == 0) {  //check the first character of the input word

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      cin>>str;   //reads input word from user

}while(str!="#");   }    //keeps prompting user to enter a word until the user enters #

int main()   //start of the main() function body

{ string str;  //declares a variable to hold a word

cout<<"Enter a word: "; //prompts user to enter a word

cin>>str; //reads input word from user

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Explanation:

The program prompts the user to enter a word and then calls StartChar(str) method by passing the word to the function.

The function StartChar() takes that word string as argument.

do while loop starts. The for loop inside do while loop iterates through each character of the word string.

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Third if condition checks if the first character of input word, convert that character to capital using toupper() method and prints the first letter of the str word in capital. For example if input word is "Computer" then this prints the message: Computer starts with the letter C in the output screen.

The program keeps prompting the user to enter the word until the user enters a hash # to end the program.

The output of the program is attached.

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3 years ago
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