Permute Quest

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Two students explore permutations concepts.

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MATH eMATICS

Philippines

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1	MATH eMATICS January 22, 2026	% 100	01:18

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Permute QuestOnline version Two students explore permutations concepts. by MATH eMATICS Ms. G I’m brushing up on permutations for our math module—the MTC10 slides cover factorials and the fundamental counting principle. Ms. R Nice! So permutations are about ordered arrangements, right? Like arranging objects taken at a time. Ms. G Exactly. And there are different cases: without repetition, with repetition, and with identical objects, as shown in the slides. Ms. R I remember: the fundamental counting principle helps multiply choices, and factorial notation pops up when counting sequences. Ms. G Yes. For example, arranging 4 different items gives 4! ways, and the concept extends to selecting positions for officers or test items. Ms. R There are even examples with identical objects, where you divide by the factorials of identical groups to avoid overcounting. Ms. G Right, like arranging multiple types of items in a rack—permutation with identical objects. The slides have concrete formulas for that. Ms. R And permutation with replacement lets you form codes or sequences when repetition is allowed, which is handy for word and code problems. Ms. G Totally. I’ll practice a couple of problems: a 4-digit code with digits 3, 5, 7, 9 without repetition, and a 3-letter code with digits where repetition is allowed. Ms. R Great plan. If we get stuck, we can reference the MTC10 Q3 FPF material for guidance on the formulas.

Permute QuestOnline version

Two students explore permutations concepts.

by MATH eMATICS

Ms. G

I’m brushing up on permutations for our math module—the MTC10 slides cover factorials and the fundamental counting principle.

Ms. R

Nice! So permutations are about ordered arrangements, right? Like arranging objects taken at a time.

Ms. G

Exactly. And there are different cases: without repetition, with repetition, and with identical objects, as shown in the slides.

Ms. R

I remember: the fundamental counting principle helps multiply choices, and factorial notation pops up when counting sequences.

Ms. G

Yes. For example, arranging 4 different items gives 4! ways, and the concept extends to selecting positions for officers or test items.

Ms. R

There are even examples with identical objects, where you divide by the factorials of identical groups to avoid overcounting.

Ms. G

Right, like arranging multiple types of items in a rack—permutation with identical objects. The slides have concrete formulas for that.

Ms. R

And permutation with replacement lets you form codes or sequences when repetition is allowed, which is handy for word and code problems.

Ms. G

Totally. I’ll practice a couple of problems: a 4-digit code with digits 3, 5, 7, 9 without repetition, and a 3-letter code with digits where repetition is allowed.

Ms. R

Great plan. If we get stuck, we can reference the MTC10 Q3 FPF material for guidance on the formulas.

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Permute Quest

Dialogue

About this activity

Created by

Download the paper version to play

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Permute QuestOnline version

by MATH eMATICS

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