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<?php namespace PhpOffice\PhpSpreadsheet\Calculation\Statistical; use PhpOffice\PhpSpreadsheet\Calculation\Exception; use PhpOffice\PhpSpreadsheet\Calculation\Functions; use PhpOffice\PhpSpreadsheet\Calculation\MathTrig; use PhpOffice\PhpSpreadsheet\Shared\IntOrFloat; class Permutations { /** * PERMUT. * * Returns the number of permutations for a given number of objects that can be * selected from number objects. A permutation is any set or subset of objects or * events where internal order is significant. Permutations are different from * combinations, for which the internal order is not significant. Use this function * for lottery-style probability calculations. * * @param mixed $numObjs Integer number of different objects * @param mixed $numInSet Integer number of objects in each permutation * * @return float|int|string Number of permutations, or a string containing an error */ public static function PERMUT($numObjs, $numInSet) { $numObjs = Functions::flattenSingleValue($numObjs); $numInSet = Functions::flattenSingleValue($numInSet); try { $numObjs = StatisticalValidations::validateInt($numObjs); $numInSet = StatisticalValidations::validateInt($numInSet); } catch (Exception $e) { return $e->getMessage(); } if ($numObjs < $numInSet) { return Functions::NAN(); } $result = round(MathTrig\Factorial::fact($numObjs) / MathTrig\Factorial::fact($numObjs - $numInSet)); return IntOrFloat::evaluate($result); } /** * PERMUTATIONA. * * Returns the number of permutations for a given number of objects (with repetitions) * that can be selected from the total objects. * * @param mixed $numObjs Integer number of different objects * @param mixed $numInSet Integer number of objects in each permutation * * @return float|int|string Number of permutations, or a string containing an error */ public static function PERMUTATIONA($numObjs, $numInSet) { $numObjs = Functions::flattenSingleValue($numObjs); $numInSet = Functions::flattenSingleValue($numInSet); try { $numObjs = StatisticalValidations::validateInt($numObjs); $numInSet = StatisticalValidations::validateInt($numInSet); } catch (Exception $e) { return $e->getMessage(); } if ($numObjs < 0 || $numInSet < 0) { return Functions::NAN(); } $result = $numObjs ** $numInSet; return IntOrFloat::evaluate($result); } }