Defence Exam > Defence Questions > Three-digit numbers are formed from the digit...
Start Learning for Free
Three-digit numbers are formed from the digits 1, 2, and 3 in such a way that the digits are not repeated. What is the sum of such three-digit numbers?
- a)1233
- b)1322
- c)1323
- d)1332
Correct answer is option 'D'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Verified Answer
Three-digit numbers are formed from the digits 1, 2, and 3 in such a w...
Sum = 12(10° + 101 + 102 )
= 111 × 12 = 1332
Most Upvoted Answer
Three-digit numbers are formed from the digits 1, 2, and 3 in such a w...
Solution:
To find the sum of all three-digit numbers formed from the digits 1, 2, and 3 without repetition, we need to consider all possible combinations of these digits.
Step 1: Determine the total number of possible combinations.
Since there are three digits available (1, 2, and 3), and each digit can only be used once, the total number of possible combinations is given by the permutation formula:
nPr = n! / (n - r)!
where n is the total number of items and r is the number of items chosen at a time.
In this case, n = 3 and r = 3, so the number of possible combinations is:
3P3 = 3! / (3 - 3)! = 3! / 0! = 3! = 3 x 2 x 1 = 6
Step 2: Find all the possible combinations.
The six possible combinations of the digits 1, 2, and 3 are:
123, 132, 213, 231, 312, 321
Step 3: Find the sum of the three-digit numbers.
To find the sum of these numbers, we need to add them together. The sum is:
123 + 132 + 213 + 231 + 312 + 321 = 1332
Therefore, the correct answer is option D) 1332.
To find the sum of all three-digit numbers formed from the digits 1, 2, and 3 without repetition, we need to consider all possible combinations of these digits.
Step 1: Determine the total number of possible combinations.
Since there are three digits available (1, 2, and 3), and each digit can only be used once, the total number of possible combinations is given by the permutation formula:
nPr = n! / (n - r)!
where n is the total number of items and r is the number of items chosen at a time.
In this case, n = 3 and r = 3, so the number of possible combinations is:
3P3 = 3! / (3 - 3)! = 3! / 0! = 3! = 3 x 2 x 1 = 6
Step 2: Find all the possible combinations.
The six possible combinations of the digits 1, 2, and 3 are:
123, 132, 213, 231, 312, 321
Step 3: Find the sum of the three-digit numbers.
To find the sum of these numbers, we need to add them together. The sum is:
123 + 132 + 213 + 231 + 312 + 321 = 1332
Therefore, the correct answer is option D) 1332.
|
Explore Courses for Defence exam
|
|
Similar Defence Doubts
Three-digit numbers are formed from the digits 1, 2, and 3 in such a way that the digits are not repeated. What is the sum of such three-digit numbers?a)1233b)1322c)1323d)1332Correct answer is option 'D'. Can you explain this answer?
Question Description
Three-digit numbers are formed from the digits 1, 2, and 3 in such a way that the digits are not repeated. What is the sum of such three-digit numbers?a)1233b)1322c)1323d)1332Correct answer is option 'D'. Can you explain this answer? for Defence 2024 is part of Defence preparation. The Question and answers have been prepared according to the Defence exam syllabus. Information about Three-digit numbers are formed from the digits 1, 2, and 3 in such a way that the digits are not repeated. What is the sum of such three-digit numbers?a)1233b)1322c)1323d)1332Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Defence 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Three-digit numbers are formed from the digits 1, 2, and 3 in such a way that the digits are not repeated. What is the sum of such three-digit numbers?a)1233b)1322c)1323d)1332Correct answer is option 'D'. Can you explain this answer?.
Three-digit numbers are formed from the digits 1, 2, and 3 in such a way that the digits are not repeated. What is the sum of such three-digit numbers?a)1233b)1322c)1323d)1332Correct answer is option 'D'. Can you explain this answer? for Defence 2024 is part of Defence preparation. The Question and answers have been prepared according to the Defence exam syllabus. Information about Three-digit numbers are formed from the digits 1, 2, and 3 in such a way that the digits are not repeated. What is the sum of such three-digit numbers?a)1233b)1322c)1323d)1332Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Defence 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Three-digit numbers are formed from the digits 1, 2, and 3 in such a way that the digits are not repeated. What is the sum of such three-digit numbers?a)1233b)1322c)1323d)1332Correct answer is option 'D'. Can you explain this answer?.
Solutions for Three-digit numbers are formed from the digits 1, 2, and 3 in such a way that the digits are not repeated. What is the sum of such three-digit numbers?a)1233b)1322c)1323d)1332Correct answer is option 'D'. Can you explain this answer? in English & in Hindi are available as part of our courses for Defence.
Download more important topics, notes, lectures and mock test series for Defence Exam by signing up for free.
Here you can find the meaning of Three-digit numbers are formed from the digits 1, 2, and 3 in such a way that the digits are not repeated. What is the sum of such three-digit numbers?a)1233b)1322c)1323d)1332Correct answer is option 'D'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
Three-digit numbers are formed from the digits 1, 2, and 3 in such a way that the digits are not repeated. What is the sum of such three-digit numbers?a)1233b)1322c)1323d)1332Correct answer is option 'D'. Can you explain this answer?, a detailed solution for Three-digit numbers are formed from the digits 1, 2, and 3 in such a way that the digits are not repeated. What is the sum of such three-digit numbers?a)1233b)1322c)1323d)1332Correct answer is option 'D'. Can you explain this answer? has been provided alongside types of Three-digit numbers are formed from the digits 1, 2, and 3 in such a way that the digits are not repeated. What is the sum of such three-digit numbers?a)1233b)1322c)1323d)1332Correct answer is option 'D'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice Three-digit numbers are formed from the digits 1, 2, and 3 in such a way that the digits are not repeated. What is the sum of such three-digit numbers?a)1233b)1322c)1323d)1332Correct answer is option 'D'. Can you explain this answer? tests, examples and also practice Defence tests.
|
|
Explore Courses for Defence exam
|
|
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up
within 7 days!
within 7 days!
Takes less than 10 seconds to signup