JEE Exam  >  JEE Questions  >  How many 5digit telephone numbers can be cons... Start Learning for Free
How many 5 digit telephone numbers can be constructed using the digits 0 to 9, if each number starts with 67 and no digit appears more than once?
  • a)
    335
  • b)
    336
  • c)
    338
  • d)
    337
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
How many 5digit telephone numbers can be constructed using the digits ...
Approach:
To construct a 5-digit telephone number starting with 67 without repeating any digit, we need to choose the remaining 3 digits from the set {0, 1, 2, 3, 4, 5, 8, 9}.

Calculation:
- Number of ways to choose the first digit (6): 1 way
- Number of ways to choose the second digit (7): 1 way
- Number of ways to choose the remaining 3 digits: 8P3 (permutations of 3 digits taken from 8) = 8*7*6 = 336 ways
- Total number of 5-digit telephone numbers: 1 * 1 * 336 = 336
Therefore, the correct answer is option (b) 336.
Free Test
Community Answer
How many 5digit telephone numbers can be constructed using the digits ...
Since, telephone number start with 67, so two digits is already fixed
Now, we have to arrangement of three digits from remaining eight digits (i.e., 0,1,2,3,4,5,8,9)

= 8 × 7 × 6
= 336 ways
Explore Courses for JEE exam
How many 5digit telephone numbers can be constructed using the digits 0 to 9,if each number starts with 67and no digit appears more than once?a)335b)336c)338d)337Correct answer is option 'B'. Can you explain this answer?
Question Description
How many 5digit telephone numbers can be constructed using the digits 0 to 9,if each number starts with 67and no digit appears more than once?a)335b)336c)338d)337Correct answer is option 'B'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about How many 5digit telephone numbers can be constructed using the digits 0 to 9,if each number starts with 67and no digit appears more than once?a)335b)336c)338d)337Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for How many 5digit telephone numbers can be constructed using the digits 0 to 9,if each number starts with 67and no digit appears more than once?a)335b)336c)338d)337Correct answer is option 'B'. Can you explain this answer?.
Solutions for How many 5digit telephone numbers can be constructed using the digits 0 to 9,if each number starts with 67and no digit appears more than once?a)335b)336c)338d)337Correct answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for JEE. Download more important topics, notes, lectures and mock test series for JEE Exam by signing up for free.
Here you can find the meaning of How many 5digit telephone numbers can be constructed using the digits 0 to 9,if each number starts with 67and no digit appears more than once?a)335b)336c)338d)337Correct answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of How many 5digit telephone numbers can be constructed using the digits 0 to 9,if each number starts with 67and no digit appears more than once?a)335b)336c)338d)337Correct answer is option 'B'. Can you explain this answer?, a detailed solution for How many 5digit telephone numbers can be constructed using the digits 0 to 9,if each number starts with 67and no digit appears more than once?a)335b)336c)338d)337Correct answer is option 'B'. Can you explain this answer? has been provided alongside types of How many 5digit telephone numbers can be constructed using the digits 0 to 9,if each number starts with 67and no digit appears more than once?a)335b)336c)338d)337Correct answer is option 'B'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice How many 5digit telephone numbers can be constructed using the digits 0 to 9,if each number starts with 67and no digit appears more than once?a)335b)336c)338d)337Correct answer is option 'B'. Can you explain this answer? tests, examples and also practice JEE tests.
Explore Courses for JEE exam

Top Courses for JEE

Explore Courses
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev