Home
Class 12
MATHS
How many six-digit numbers are there in ...

How many six-digit numbers are there in which no digit is repeated, even digits appear at even places, odd digits appear at odd places and the number is divisible by `4` ? (a)`3600` (b)`2700` (c)`2160` (d)`1440`

A

`3600`

B

`2700`

C

`2160`

D

`1440`

Text Solution

Verified by Experts

The correct Answer is:
D
`(d)` The number formed by last two digits must be divisible by `4`.

`3xx3xx4xx4xx5xx2=1440`
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

How many seven-digit numbers are there, the sum of whose digit is even?

How many two-digit numbers are divisible by 3?

How many five-digit telephone numbers are there, the sum of whose digits is even ?

How many two digit numbers are divisible by 3 ?

How many three-digit numbers are divisible by 7?

How many 4-digit numbers can be formed by using the digits 1 to 9 if no digit is repeated?

How many 3-digit numbers can be formed by using the digits 1 to 9 if no digit is repeated?

How many 5 digit numbers can be formed using the digits 0,2,5,6,7 without repeating the digits?

How many 4-digit numbers can be formed by using the digits 1 to 9 if repetition of digits is not allowed?

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