{{ drag.item.emoji }}
Drag to arrange

Permutation: Order Matters

Arrange exactly 3 aliens on the podium. Who gets 1st, 2nd, and 3rd place makes a difference!

{{ slot.emoji }} {{ 5 - idx }} choices
{{ idx === 0 ? '1st' : idx === 1 ? '2nd' : '3rd' }}
{{ alien.emoji }}
Tap to mix

Combination: Order Doesn't Matter

Pick exactly 3 fruits for a smoothie. The order you throw them in doesn't change the flavor!

Blender Bowl
{{ f.emoji }}
Smoothie Ready! 🥤
Mixing {{ s2.selected.map(f=>f.emoji).join(', ') }} is the same as {{ [...s2.selected].reverse().map(f=>f.emoji).join(', ') }}!
Tap to merge

Removing Duplicates

These 6 ordered permutations all contain the same items. Tap all 6 to merge them into 1 unordered combination!

{ {{ s3.items.join('') }} }
Slide to unlock

The Formula Vault

Adjust the formula, Pool (n), and Picks (r) to crack the code. You need exactly {{ s4.target }} possibilities!

{{ s4.unlocked ? 'lock_open' : 'lock' }} {{ s4CurrentValue }} Target: {{ s4.target }}
🏆

Master of Arrangements!

You've conquered Permutations (where order matters) and Combinations (where it's just about the group).

🔢
Permutations P(n,r)
Arranging books, race finishes, passwords.
🥗
Combinations C(n,r)
Committees, pizza toppings, card hands.