Home
Class 12
MATHS
The number of three-digit numbers having...

The number of three-digit numbers having only two consecutive digits identical is

A

`153`

B

`162`

C

`180`

D

`161`

Text Solution

Verified by Experts

The correct Answer is:
B
`(b)` First two digits are identical.
`x x__to" Number of ways"=9xx9=81`
`__x xto"Number of ways"=9xx8=72` (when last two digits are non-zero)
`__0 0 to "Number of ways"=9` (when last two digits are zero)
Promotional Banner

Topper's Solved these Questions

  • PERMUTATION AND COMBINATION

    CENGAGE PUBLICATION|Exercise Multiple Correct Answer|2 Videos

  • PERMUTATION AND COMBINATION

    CENGAGE PUBLICATION|Exercise Comprehension|8 Videos

  • PARABOLA

    CENGAGE PUBLICATION|Exercise Matching Column Type|1 Videos

  • PRINCIPLE OF MATHEMATICAL INDUCTION

    CENGAGE PUBLICATION|Exercise Sovled Examples|22 Videos

Similar Questions

Explore conceptually related problems

The number of three-digit numbers having only two consecutive digit identical N , then the value of (N//2)^(1//2) is _______.

Find the total number of n -digit number (n >1) having property that no two consecutive digits are same.

The number of five-digit telephone numbers having atleast one of their digits repeated is a. 90000 b. 100000 c. 30240 d. 69760

The number of all numbers having 5 digits, with distinct digits is

Find the total number of two-digit numbers (having different digits), which is divisible by 5.

The number of n digit numbers which consists of the digit 1 and 2 only if each digit is to be used atleast once is equal to 510, then n is equal to ________.

The number of five digit telephone numbers none of their digits being repeated is

The total number of 9 digit numbers which have all different digit is

The no. of single digit Fermat numbers is

How many five-digit numbers can be made having exactly two identical digits?