Question

write a program to generate pascals triangle ...15 rows​

Answer 1

Answer:

Pascal’s Triangle

Pascal’s triangle is a triangular array of the binomial coefficients. Write a function that takes an integer value n as input and prints first n lines of the Pascal’s triangle. Following are the first 6 rows of Pascal’s Triangle.

1

1 1

1 2 1

1 3 3 1

1 4 6 4 1

1 5 10 10 5 1

Number of entries in every line is equal to line number. For example, the first line has “1”, the second line has “1 1”, the third line has “1 2 1”,.. and so on. Every entry in a line is value of a Binomial Coefficient. The value of ith entry in line number line is C(line, i). The value can be calculated using following formula

Answer 2

Answer:

/***********************************

      *  Pascal's triangle  *

***********************************/

 

/**

* Pascal's pattern is generated from the top of the pyramid i.e. first row.

 

* Triangle is a perfectly symmetrical mirror image having a line down through the middle innermost digits.

 

* Code created by Mahnaz Hazra

**/

import java.util.*;

public class Main                    //Or Public class PascalTriangle  

{

   public static void main(String[] args)

   {

       Scanner Scn = new Scanner(System.in);

       int mn = Scn.nextInt() + 1;

       if(mn > 15)

       {

           System.out.println("Note : The neatnest of the format fails after 15.");

       }

           System.out.println();    //Print a new line

       for(int n = 0; n < mn; n++)

       {

           System.out.format("%n");

           for(int i = mn-n; i > 0; i--)

           {

               System.out.format("%3s", "");

           }

           System.out.format("1");

           int t = 1;

           for(int i = 1;i <= n; i++)

           {

               t = (t * (n +1 - i) ) /i;

               System.out.format(" %5d", t);

           }

       }

   }          

}

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