1000 Artichoke Hearts Food

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IF THE COEFFICIENT OF $X^{50}$ IN THE EXPANSION OF …
Problem : If the coefficient of x50 x 50 in the expansion of (1 + x)1000 + 2x(1 + x)999 + 3x2(1 + x)998 + ⋯ + 1001x1000 (1 + x) 1000 + 2 x (1 + x) 999 + 3 x 2 (1 + x) 998 + + 1001 x 1000 is λ λ …
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WHAT IS THE MAXIMUM VALUE OF $N$ IF $4^N$ DIVIDES $1000!
Mar 3, 2019 If 1000! 1000! is divided by 4n 4 n with a remainder 0, what is the highest possible value of n n? I placed 2, 3, 4, etc value in n n but didn't found any possible 4n 4 n. Moreover I …
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FIND $A^{1000}$ BY USING CAYLEY-HAMILTON THEOREM
Find A1000 A 1000 by using the Cayley-Hamilton theorem. I find the characteristic polynomial by P(A) = −A3 + 2A2 = 0 P (A) = A 3 + 2 A 2 = 0 (by Cayley-Hamilton) but I don't see how to find …
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THERE ARE $1000$ PEOPLE IN A HALL. ONE PERSON HAD THEIR HAND …
Sep 3, 2020 There are $1000$ people in a hall. One person had their hand painted. Every minute everyone shake their hand with someone else. How much time is needed to paint all …
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ALGEBRA PRECALCULUS - PARTITIONS USING ONLY POWERS OF TWO ON …
How many ways are there to write $1000$ as a sum of powers of $2,$ ($2^0$ counts), where each power of two can be used a maximum of $3$ times. Furthermore, $1+2+4+4$ is the …
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LOOK AT THE FOLLOWING INFINITE SEQUENCE: 1, 10, 100, 1000, 10000,
What is the proof that there are 2 numbers in this sequence that differ by a multiple of 12345678987654321?
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CREATING ARITHMETIC EXPRESSION EQUAL TO 1000 USING EXACTLY EIGHT …
I would like to find all the expressions that can be created using nothing but arithmetic operators, exactly eight $8$'s, and parentheses. Here are the seven solutions I've found (on the Internet)...
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FIND THE NUMBER OF TIMES - MATHEMATICS STACK EXCHANGE
Aug 11, 2017 Question: Find the number of times 5 5 will be written while listing integers from 1 1 to 1000 1000. Now, it can be solved in this fashion. The numbers will be of the form: 5xy, x5y, …
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HOW MUCH ZEROS HAS THE NUMBER $1000!$ AT THE END?
May 13, 2014 If a number ends with n n zeros than it is divisible by 10n 10 n, that is 2n5n 2 n 5 n. A factorial clearly has more 2 2 s than 5 5 s in its factorization so you only need to count how …
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WHAT DOES IT MEAN WHEN SOMETHING SAYS (IN THOUSANDS)
Oct 31, 2017 It means "26 million thousands". Essentially just take all those values and multiply them by 1000 1000. So roughly $26 $ 26 billion in sales.
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