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Quantum Internet Benefits

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  The quantum internet is a network of quantum computers that are connected together using quantum communication. It has the potential to revolutionize many industries, including: Secure communications: The quantum internet would be inherently secure, as it would be impossible to eavesdrop on quantum communications without being detected. This could be used for applications such as secure financial transactions, government communications, and military applications. Quantum computing: The quantum internet would allow quantum computers to be connected together, which would allow them to solve problems that are currently impossible for classical computers. This could be used for applications such as drug discovery, financial modeling, artificial intelligence, and materials science. Quantum sensors: The quantum internet could be used to connect quantum sensors together, which would allow them to create a global network of sensors that could be used to monitor the environment, detect earthq
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Problem Solving : Permutation and combination Problem 1 : In how many ways can the letter of the word PROPORTION be arranged by taking 4 letters at a time?

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In how many ways can the letter of the word PROPORTION be arranged by taking 4 letters at a time? Solution: P R O P O R T I O N below I've wrote letters without repeated words and then how many times particular word repeated P R O T I N P R O         O Here (P, P) 2 P, (R, R) 2 R, and (O,O,O) 3 O from the question here we gonna select 4 words hence we have the following chance to select those 4 words Chance 1:   3 O and remaining 1 are different (That means (O,O,O)--> 3 word and (P,R,T,I,N) ---> 1 word from the 5) Chance 2:  two of same words and other two of the  same words (here (O,O,O), (T,T) and (P,P) out of 3 pairs we gonna select 2 pair of words ) Chance 3: Two of same words and other two are different words (here (O,O,O), (T,T) and (P,P) out of 3 pairs we gonna select 1 pair of word and other 2 word from (R, O, I, N, T) words consider P,P has been selected pair  ) Chance 4: All 4 are different ( here P, R,  O, T, I , N out of 6 we gonna select 4 words
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