Home
Class 11
MATHS
How many 5-digit telephone numbers can b...

How many 5-digit telephone numbers can be constucted using the digits 0 to 9 if each numbers starts with 67 and no digit appears more than once?

Text Solution

Verified by Experts

There are 10 digits from 0 to 9. 67 I II III
No. of ways of filling first digit after 67 = 8
No. of ways of filling second digit after = 67 = 7
No. of ways of filling thrid digit after 67 = 6
There total number of telephone numbers
`= 8 xx 7 xx 6 = 336`
Promotional Banner

Topper's Solved these Questions

  • PERMUTATION AND COMBINATION

    NAGEEN PRAKASHAN|Exercise Exercise 2|5 Videos
  • PERMUTATION AND COMBINATION

    NAGEEN PRAKASHAN|Exercise Exercise 3|11 Videos
  • PERMUTATION AND COMBINATION

    NAGEEN PRAKASHAN|Exercise Exercise I|10 Videos
  • MATHEMATICAL REASONING

    NAGEEN PRAKASHAN|Exercise Misellaneous exercise|7 Videos
  • PRINCIPLE OF MATHEMATICAL INDUCTION

    NAGEEN PRAKASHAN|Exercise Exercise 4|29 Videos

Similar Questions

Explore conceptually related problems

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?

How many 6-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?

How many 8- digit telephone numbers can be constructed using the digits 0 to 9 if each number starts with 270 and no digit appears more than once?

How many five digit telephone numbers can be constructed using the digits 0 to 9. If each numbers starts with 67 and no digit a appears more than once?

How many 6 -digit telephone numbers can be constructed with digits 0,1,2,3,4,5,6,7,8,9 if each number starts with 35 and no digit appears more than once?

How many 5-digit telephone numbers can be formed with the digits 0, 1, 2, 3, ….., 8, 9 if each number starts with 67 and no digit appears more than once ?