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.