MHB How Many Possible Cards Can Be Made with Sasha, Pasha, and Masha?

Thread starter sophbell
Start date Nov 7, 2021

Nov 7, 2021

sophbell

Mathematics news on Phys.org

Nov 8, 2021

Evgeny.Makarov

Gold Member

MHB

What exactly don't you understand?

To count the number of possible cards I would consider three cases depending on the names on the card: Sasha and Pasha, Sasha and Masha and finally Pasha and Masha.

Thread 'Trigonometry problem of interest'

Seemingly by some mathematical coincidence, a hexagon of sides 2,2,7,7, 11, and 11 can be inscribed in a circle of radius 7. The other day I saw a math problem on line, which they said came from a Polish Olympiad, where you compute the length x of the 3rd side which is the same as the radius, so that the sides of length 2,x, and 11 are inscribed on the arc of a semi-circle. The law of cosines applied twice gives the answer for x of exactly 7, but the arithmetic is so complex that the...

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Thread 'Six Pencil Puzzle'

Is it possible to arrange six pencils such that each one touches the other five? If so, how? This is an adaption of a Martin Gardner puzzle only I changed it from cigarettes to pencils and left out the clues because PF folks don’t need clues. From the book “My Best Mathematical and Logic Puzzles”. Dover, 1994.

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Thread 'Arithmetic and our place value system'

A power has two parts. Base and Exponent. A number 423 in base 10 can be written in other bases as well: 1. 4* 10^2 + 2*10^1 + 3*10^0 = 423 2. 1*7^3 + 1*7^2 + 4*7^1 + 3*7^0 = 1143 3. 7*60^1 + 3*60^0 = 73 All three expressions are equal in quantity. But I have written the multiplier of powers to form numbers in different bases. Is this what place value system is in essence ?

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MHB How Many Possible Cards Can Be Made with Sasha, Pasha, and Masha?

Thread 'Trigonometry problem of interest'

Thread 'Six Pencil Puzzle'

Thread 'Arithmetic and our place value system'

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