How many triplets (x, y, z) satisfy the equation x + y + z = 6, where x, y and z are natural numbers?
Explanation & Solution
The correct answer is (D) 10.
Explanation:
Since x, y, z are natural numbers and their sum is 6, we need to list all possible combinations. By systematic listing, we get 10 different combinations: (1,1,4), (1,4,1), (4,1,1), (1,2,3), (1,3,2), (2,1,3), (2,2,2), (2,3,1), (3,1,2), (3,2,1).
हिंदी में प्रश्न एवं आदर्श उत्तर
समीकरण x + y + z = 6 को कितने त्रिक (x, y, z) संतुष्ट करते हैं, जहाँ x, y और z धनपूर्णांक संख्याएँ हैं?
सही उत्तर (D) 10 है।
व्याख्या:
Since x, y, z are natural numbers and their sum is 6, we need to list all possible combinations. By systematic listing, we get 10 different combinations: (1,1,4), (1,4,1), (4,1,1), (1,2,3), (1,3,2), (2,1,3), (2,2,2), (2,3,1), (3,1,2), (3,2,1).