MPMP Can you play Scrabble over a video call

>> YOUR LINK HERE: ___ http://youtube.com/watch?v=JaXo_i3ktwM

You can enter the submittable part of the puzzle at https://www.think-maths.co.uk/maths-p... • Everything about Vicki is on her website: https://www.vickipipe.co.uk/ • Or go straight to the All The Stations channel! • / @allthestations • Get your own random quantum-noise numbers here: https://qrng.anu.edu.au/ • These are my scrabble numbers. I have not double checked them, so please let me know if you do. • Ten million simulations: • Fixed points: 5.9604827 • Alphabetical neighbours: 6.6008077 • Pairs: 4.3016657 • Triples: 0.2712588 • Fours: 0.0184608 • Fives: 0.0012537 • Just two rounds of random shunting: • Fixed points: 5.9601175 • Alphabetical neighbours: 5.6288508 • Pairs: 6.263659 • Triples: 0.4552404 • Fours: 0.0385577 • Fives: 0.0033718 • Two random shunts and a 2-2-3-3 shuffle: • Fixed points: 5.9590569 • Alphabetical neighbours: 7.2059461 • Pairs: 4.2509397 • Triples: 0.3174862 • Fours: 0.0272161 • Fives: 0.0023192 • Three random shunts and a 2-2-3-3 shuffle: • Fixed points: 5.9611759 • Alphabetical neighbours: 6.6348292 • Pairs: 4.2771024 • Triples: 0.2715075 • Fours: 0.0184781 • Fives: 0.0012264 • Here is the submittable puzzle again with the letter values: • How many ways, from the 100 standard scrabble tiles, can you choose seven which total 46 points? Clarification: for this we mean distinct scrabble hands (groups of 7 letters), so order does not matter and identical letters are indistinguishable. • 9 × A worth 1 point • 2 × B worth 3 points • 2 × C worth 3 points • 4 × D worth 2 points • 12 × E worth 1 point • 2 × F worth 4 points • 3 × G worth 2 points • 2 × H worth 4 points • 9 × I worth 1 point • 1 × J worth 8 points • 1 × K worth 5 points • 4 × L worth 1 point • 2 × M worth 3 points • 6 × N worth 1 point • 8 × O worth 1 point • 2 × P worth 3 points • 1 × Q worth 10 points • 6 × R worth 1 point • 4 × S worth 1 point • 6 × T worth 1 point • 4 × U worth 1 point • 2 × V worth 4 points • 2 × W worth 4 points • 1 × X worth 8 points • 2 × Y worth 4 points • 1 × Z worth 10 points • 2 × _ worth 0 points • Thanks as always to my principle channel sponsor Jane Street! • CORRECTIONS • Nothing yet. Let me know if you spot anything! • Thanks to my Patreon supports who do support these videos and make them possible. Here is a random subset: • Bevan Timm • Steve Davidson • Aimee Arost Henry Gustafson • Emily Dingwell • Matt Langford • Mikko • Daniel DeJarnatt • Alex Frieder • Will Clark • Daniel Brockwell • Support my channel and I can make more videos: • / standupmaths • Filming and editing by Matt Parker • Music by Howard Carter • Design by Simon Wright • MATT PARKER: Stand-up Mathematician • Website: http://standupmaths.com/ • US book: https://www.penguinrandomhouse.com/bo... • UK book: https://mathsgear.co.uk/products/5b9f... • Nerdy maths toys: http://mathsgear.co.uk/ • Ok, here is your hint: see if you can work out how many ways you can get a total of 48 points (there should be 50). Then try 46 points.

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