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The number of five digit even numbers th...

The number of five digit even numbers that can be made with the digits, 0, 1, 2 and 3, is

A

384

B

192

C

768

D

576

Text Solution

AI Generated Solution

To find the number of five-digit even numbers that can be formed using the digits 0, 1, 2, and 3, we need to consider a few key points: 1. **Understanding the structure of a five-digit number**: A five-digit number cannot start with 0. Therefore, the first digit can only be 1, 2, or 3. 2. **Identifying the last digit for even numbers**: Since we are looking for even numbers, the last digit must be either 0 or 2. Now, we will break down the solution step by step: ...
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OBJECTIVE RD SHARMA ENGLISH-PERMUTATIONS AND COMBINATIONS-Section I - Solved Mcqs
  1. The number of six-digit numbers all digits of which are odd, is …… .

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  2. The number of numbers divisible by 3 that can be formed by four differ...

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  3. The number of five digit even numbers that can be made with the digits...

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  4. Given that n is odd, number of ways in which three numbers in AP can b...

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  5. One and only one straight line can be drawn passing through two given ...

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  6. There are 10 points in a plane of which no three points are colline...

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  7. There are three coplanar parallel lines. If any p points are taken ...

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  8. In a polygon no three diagonals are concurrent. If the total number of...

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  9. ABCD is a convex quadrilateral and 3, 4, 5, and 6 points are marked...

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  10. The number of ways in which we can select four numbers from 1 to 30...

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  11. The number of four-digit numbers that can be made with the digits 1...

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  12. The number of 5-digit number that can be made using the digits 1 and 2...

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  13. The number of ways of dividing 20 persons into 10 couples is

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  14. Find the number of ways in which 10 condidates A(1),A(2),......,A(10) ...

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  15. There are n white and n black balls marked 1, 2, 3,…..,n. The number o...

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  16. The number of ways in which we can distribute m n students equally ...

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  17. The total number of 6-digit numbers in which the sum of the digits is ...

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  18. The number of integers solutions for the equation x+y+z+t=20, where x,...

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  19. The number of integral solutions of x+y+z=0 with xgeq-5,ygeq-5,zgeq-5 ...

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  20. The number of non-negative integral solutions of x+y+z<=n, where n in ...

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