Humans have always been a developing as per their requirements and circumstances offered by nature and situations. They have introduced computers, rockets, energy mining, infrastructure etc. but Is it enough for survival? No. For the further survival humankind have to keep evolving ...
To solve this problem, we can use the combination formula, which is: C(n, k) = n! / (k! * (n - k)!) Where n is the total number of items to choose from, and k is the number of items to choose. In this case, we have 7 Mathematics books, 10 Economics books, and 9 History books to choose from. We needRead more
To solve this problem, we can use the combination formula, which is:
C(n, k) = n! / (k! * (n – k)!)
Where n is the total number of items to choose from, and k is the number of items to choose.
In this case, we have 7 Mathematics books, 10 Economics books, and 9 History books to choose from. We need to select 2 Mathematics books, 4 Economics books, and 6 History books.
So, the total number of ways to select the books is:
C(7, 2) * C(10, 4) * C(9, 6) = (7! / (2! * (7 – 2)!)) * (10! / (4! * (10 – 4)!)) * (9! / (6! * (9 – 6)!))
This simplifies to:
(7 * 6 / (2 * 1)) * (10 * 9 * 87 / (4 * 3 * 2 * 1)) * (9 * 8 * 7 * 6 * 5 * 4 / (6 * 5 * 4 * 3 * 2 * 1))
This simplifies further to:
21 * 1260 * 60480 = 1,764,480
Therefore, there are 1,764,480 different ways to select 2 Mathematics books, 4 Economics books, and 6 History books from the given sets of books.
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Universal Matter Replication: Imagine a device that can scan and replicate any object at an atomic level. This would revolutionize manufacturing, eliminating waste and creating anything on demand. Food scarcity, resource limitations, and dependence on complex supply chains could become relics of theRead more
Universal Matter Replication: Imagine a device that can scan and replicate any object at an atomic level. This would revolutionize manufacturing, eliminating waste and creating anything on demand. Food scarcity, resource limitations, and dependence on complex supply chains could become relics of the past. Shelter, clothing, and even complex tools could be readily available, fundamentally changing how we live and interact with the world.
Advanced Brain-Computer Interfaces (BCIs): A seamless interface between the human brain and computers could unlock unimaginable potential. Imagine controlling technology with thought, directly accessing and storing information in the brain, or even enhancing our cognitive abilities. This could revolutionize education, communication, and scientific exploration. However, ethical considerations regarding privacy and human augmentation would need to be carefully addressed.