In how many different ways, 2 Mathematics, 4 Economics and 6 History books can be selected from 7 Mathematics, 10 Economics and 9 History books?
Resources & Suggestions
Mains Answer Writing Latest Articles
On: February 24, 2025
Daily Answer Writing Practice Questions (24 February 2025)
The rise of the work-from-home culture has brought about several ethical issues in private organizations. In this context, do you believe it is ethical for an employee to engage in moonlighting? Discuss. (Answer in 150 words) घर से काम करने ...
On: February 22, 2025
Comments:
0
Indo-US Relation: Areas of Cooperation & Conflicts
Key Areas: Defense, technology, trade, energy, and regional cooperation. Key Areas of Cooperation 1. Defense and Security Transition from buyer-seller to co-production and technology sharing. India as a Major Defense Partner (MDP) and inclusion in STA-1. Access to advanced technologies, ...
On: February 22, 2025
Comments:
0
भारत-अमेरिका संबंध: सहयोग और संघर्ष के क्षेत्र
मुख्य विषय: भारत-अमेरिका संबंधों की मजबूती, विशेषकर रक्षा, प्रौद्योगिकी और क्षेत्रीय सहयोग में प्रगति। सहयोग के प्रमुख क्षेत्र 1. रक्षा एवं सुरक्षा सहयोग भारत और अमेरिका के बीच रक्षा संबंधों का विस्तार। प्रमुख रक्षा साझेदार (MDP) का दर्जा और STA-1 ...
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.