Genius Maker - School software - Maths software PERMUTATION and COMBINATION

Features:

The Permutation and Combination is a mathematical software, which facilitates to solve problems with permutation and combination with any 2 known parameters. 

 

 

How to start with Permutation and Combination software ?

• Open Genius Maker software and click "Permutation and Combination" button. It opens the Permutation and Combination window.
• Using "Select the condition" box, you can switch between Permutation and Combination.
• The middle box provides interface for entering input and reading output.

EXAMPLE - 1 ( Permutation )

• Let us compute ₆P₂ 

• Cilck "Permutation" button.

• Enter the value of n as "6"

• Enter the value of r as "2"

• Click "Solve" button.

• Now we can see that the software solves for ₆P₂ and displays the result of _nP_r as " 30 ".  

EXAMPLE - 2 ( Permutation )

• Let us find the value of 'n' , where  _nP₅ =  240240

• Cilck "Permutation" button.

• Click "Clear data" button.

• Enter the value of r as "5"

• Enter the value of _nP_r as "240240"

• Click "Solve" button.

• We can see that the software solves for the unknown and displays the result of n as "14".  

EXAMPLE - 3 ( Permutation )

• Let us find the value of 'r' , where  ₁₆P_r =  57657600

• Cilck "Permutation" button.

• Click "Clear data" button.

• Enter the value of n as "16"

• Enter the value of _nP_r as "57657600"

• Click "Solve" button.

• We can see that the software solves for the unknown and displays the result of ' r ' as "7".  

EXAMPLE - 4 ( Combination )

• Let us compute ₂₂C₁₂ 

• Cilck "Combination" button.

• Click "Clear data" button.

• Enter the value of n as "22"

• Enter the value of r as "12"

• Click "Solve" button.

• Now we can see that the software solves for ₂₂C₁₂ and displays the result of _nC_r as "646646".  

EXAMPLE - 5 ( Combination )

• Let us find the value of 'n' , where  _nC₂₄ =  62852101650

• Cilck "Combination" button.

• Click "Clear data" button.

• Enter the value of r as "24"

• Enter the value of _nC_r as "62852101650"

• Click "Solve" button.

• We can see that the software solves for the unknown and displays the result of n as "40".  

EXAMPLE - 6 ( Combination )

• Let us find the value of 'r' , where  ₃₂C_r =  565722720

• Cilck "Combination" button.

• Click "Clear data" button.

• Enter the value of n as "32"

• Enter the value of _nC_r as "565722720"

• Click "Solve" button.

• We can see that the software solves for the unknown and displays the result of ' r ' as below.

" 15 and 17 "

• This implies that the current problem has 2 solutions. One is " r = 15 " and " r= 17 ". In other words it implies that  ₃₂C₁₅ = ₃₂C₁₇ = 565722720 

Additional Feature

• Calculation Display: Whenever a problem is successfully solved, we can see the calculation of that problem in the "Calculation" box.

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