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Permutations and Combinations BINGO

This bingo card has a free space and 24 words: 35, 20, 210, 120, 562, 1, 10, 30, 220, 720, 360, 2, 24, 84, 12 C 9, 90, 330, 336, 66, 2278, 351, 15, 840 and 5040.

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Permutations and Combinations BINGO bingo card with 35, 20, 210, 120, 562, 1, 10, 30, 220 and 720

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  • How many combination is it 75 bingo? 🙂

‎10-07-2016 04:37 PM

How many combination is it 75 bingo? 🙂

‎10-07-2016 05:16 PM

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Re: How many combination is it 75 bingo? 🙂

A bingo card consists of 24 numbers out of 75. Row 1 is 15 numbers from 1 to 15 so that is (15x14x13x12x11)/(5×4×3×2×1)=3003. The middle row is (15x14x13x12)/(4×3×2×1)=1365. There are 4 rows with 5 numbers and 1 with 4. So it is (3003^4)x1365=111.007.923.832.370.565.

That is a bit more than 111 quadrillion.

So the odds of hitting the first 24 numbers in a game is about 1 in 111 quadrillion.

How many combination is it 75 bingo? 🙂 ]]>