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How many motor vehicle registration number of 4 digits can be formed with the digits 0, 1,2, 3, 4, 5? (No digit being repeated.)
- a)1080
- b)120
- c)300
- d)360
Correct answer is option 'D'. Can you explain this answer?
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Verified Answer
How many motor vehicle registration number of 4 digits can be formed w...
The correct option is Option D.
Since motor registration can start with zero as first digit from left and there are six different digits (0,1,2,3,4,5) including zero.
Therefore, different registration numbers that can be formed using these six digits = 6P4 = 360
Most Upvoted Answer
How many motor vehicle registration number of 4 digits can be formed w...
Given: 6 digits (0, 1, 2, 3, 4, 5)
To find: Number of motor vehicle registration number of 4 digits that can be formed with these digits (no digit being repeated)
Solution:
We can use the permutation formula to solve this problem.
Permutation formula:
nPr = n! / (n-r)!
where n is the total number of items and r is the number of items taken at a time.
Since we need to form a 4-digit number, r = 4
n = 6 (as we have 6 digits)
Number of permutations of 4 digits using 6 digits = 6P4
= 6! / (6-4)!
= 6! / 2!
= (6 x 5 x 4 x 3 x 2 x 1) / (2 x 1)
= 360
Therefore, the correct answer is option D, 360.
To find: Number of motor vehicle registration number of 4 digits that can be formed with these digits (no digit being repeated)
Solution:
We can use the permutation formula to solve this problem.
Permutation formula:
nPr = n! / (n-r)!
where n is the total number of items and r is the number of items taken at a time.
Since we need to form a 4-digit number, r = 4
n = 6 (as we have 6 digits)
Number of permutations of 4 digits using 6 digits = 6P4
= 6! / (6-4)!
= 6! / 2!
= (6 x 5 x 4 x 3 x 2 x 1) / (2 x 1)
= 360
Therefore, the correct answer is option D, 360.
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How many motor vehicle registration number of 4 digits can be formed w...
360
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