Class 11 Exam > Class 11 Questions > Number of 5 digit numbers divisible by 25 tha...
Start Learning for Free
Number of 5 digit numbers divisible by 25 that can be formed using only the digits 1,2,3,4,5 & 0 taken five at a time a)-2 b)-32 c)-42 d)-52?
Most Upvoted Answer
Number of 5 digit numbers divisible by 25 that can be formed using onl...
A number will be divisible by 25 if it ends with 25 (or) 50 (or) 75 (or) 00. But here we don't have any 7 and only one 0 so the lat two cases are not possible. Now the last two digits must be fixed and the first three can be filled accordingly. Remember that the first digit (a) cannot be zero since we need a 5 digit number. The number below the under brace tells us how many numbers can be filled in that position,
In the first case we haven't fixed 0 so there are only three possible ways in filling "a" (1,3, or 4). But in the next case we have fixed 0 so the first digit can be anything from the remaining four numbers.
Community Answer
Number of 5 digit numbers divisible by 25 that can be formed using onl...
To form a 5-digit number divisible by 25, the last two digits must be either 25 or 50.
Case 1: Last two digits are 25
In this case, the first three digits can be any of the remaining 3 digits (1, 2, 3, 4, 5) and the last two digits are fixed. Therefore, there are $3 \cdot 4 \cdot 5 = 60$ numbers.
Case 2: Last two digits are 50
In this case, the first three digits can be any of the remaining 3 digits (1, 2, 3, 4, 5) and the last two digits are fixed. Therefore, there are $3 \cdot 4 \cdot 5 = 60$ numbers.
Hence, the total number of 5-digit numbers divisible by 25 that can be formed using only the digits 1, 2, 3, 4, 5 is $60 + 60 = \boxed{120}$.
Case 1: Last two digits are 25
In this case, the first three digits can be any of the remaining 3 digits (1, 2, 3, 4, 5) and the last two digits are fixed. Therefore, there are $3 \cdot 4 \cdot 5 = 60$ numbers.
Case 2: Last two digits are 50
In this case, the first three digits can be any of the remaining 3 digits (1, 2, 3, 4, 5) and the last two digits are fixed. Therefore, there are $3 \cdot 4 \cdot 5 = 60$ numbers.
Hence, the total number of 5-digit numbers divisible by 25 that can be formed using only the digits 1, 2, 3, 4, 5 is $60 + 60 = \boxed{120}$.
Attention Class 11 Students!
To make sure you are not studying endlessly, EduRev has designed Class 11 study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Class 11.
|
Explore Courses for Class 11 exam
|
|
Similar Class 11 Doubts
Top Courses for Class 11View all
Number of 5 digit numbers divisible by 25 that can be formed using only the digits 1,2,3,4,5 & 0 taken five at a time a)-2 b)-32 c)-42 d)-52?
Question Description
Number of 5 digit numbers divisible by 25 that can be formed using only the digits 1,2,3,4,5 & 0 taken five at a time a)-2 b)-32 c)-42 d)-52? for Class 11 2024 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about Number of 5 digit numbers divisible by 25 that can be formed using only the digits 1,2,3,4,5 & 0 taken five at a time a)-2 b)-32 c)-42 d)-52? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Number of 5 digit numbers divisible by 25 that can be formed using only the digits 1,2,3,4,5 & 0 taken five at a time a)-2 b)-32 c)-42 d)-52?.
Number of 5 digit numbers divisible by 25 that can be formed using only the digits 1,2,3,4,5 & 0 taken five at a time a)-2 b)-32 c)-42 d)-52? for Class 11 2024 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about Number of 5 digit numbers divisible by 25 that can be formed using only the digits 1,2,3,4,5 & 0 taken five at a time a)-2 b)-32 c)-42 d)-52? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Number of 5 digit numbers divisible by 25 that can be formed using only the digits 1,2,3,4,5 & 0 taken five at a time a)-2 b)-32 c)-42 d)-52?.
Solutions for Number of 5 digit numbers divisible by 25 that can be formed using only the digits 1,2,3,4,5 & 0 taken five at a time a)-2 b)-32 c)-42 d)-52? in English & in Hindi are available as part of our courses for Class 11.
Download more important topics, notes, lectures and mock test series for Class 11 Exam by signing up for free.
Here you can find the meaning of Number of 5 digit numbers divisible by 25 that can be formed using only the digits 1,2,3,4,5 & 0 taken five at a time a)-2 b)-32 c)-42 d)-52? defined & explained in the simplest way possible. Besides giving the explanation of
Number of 5 digit numbers divisible by 25 that can be formed using only the digits 1,2,3,4,5 & 0 taken five at a time a)-2 b)-32 c)-42 d)-52?, a detailed solution for Number of 5 digit numbers divisible by 25 that can be formed using only the digits 1,2,3,4,5 & 0 taken five at a time a)-2 b)-32 c)-42 d)-52? has been provided alongside types of Number of 5 digit numbers divisible by 25 that can be formed using only the digits 1,2,3,4,5 & 0 taken five at a time a)-2 b)-32 c)-42 d)-52? theory, EduRev gives you an
ample number of questions to practice Number of 5 digit numbers divisible by 25 that can be formed using only the digits 1,2,3,4,5 & 0 taken five at a time a)-2 b)-32 c)-42 d)-52? tests, examples and also practice Class 11 tests.
|
|
Explore Courses for Class 11 exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup