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How many three digit odd numbers can be formed by using the digits 1,2,3,4,5,6 if the repetition of digit is not allowed:
- a)216
- b)120
- c)60
- d)None of these
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
How many three digit odd numbers can be formed by using the digits 1,2...
There can be only 3 digits at the last digit (1,3,5) the middle digit should have 5 No's. out of 6, because one digit is used in last digit similarly 1st digit will have 4 No's.
Therefore : 4×5×3 => 60
Most Upvoted Answer
How many three digit odd numbers can be formed by using the digits 1,2...
Solution:
To form a three-digit odd number using the given digits, the unit’s place must be occupied by an odd digit i.e., 1, 3, or 5.
We have 3 choices for the unit's place.
Once the unit's place is occupied by an odd number, we have 5 choices left for the hundred's place.
Once the hundred's place is occupied, we have 4 choices left for the ten's place.
Therefore, the total number of three-digit odd numbers that can be formed using the given digits is:
3 × 5 × 4 = 60
Hence, the correct answer is option C.
HTML Codes:
To form a three-digit odd number using the given digits, the unit’s place must be occupied by an odd digit i.e., 1, 3, or 5.
We have 3 choices for the unit's place.
Once the unit's place is occupied by an odd number, we have 5 choices left for the hundred's place.
Once the hundred's place is occupied, we have 4 choices left for the ten's place.
Therefore, the total number of three-digit odd numbers that can be formed using the given digits is:
3 × 5 × 4 = 60
Hence, the correct answer is option C.
HTML Codes:
Solution:
To form a three-digit odd number using the given digits, the unit’s place must be occupied by an odd digit i.e., 1, 3, or 5.
We have 3 choices for the unit's place.
Once the unit's place is occupied by an odd number, we have 5 choices left for the hundred's place.
Once the hundred's place is occupied, we have 4 choices left for the ten's place.
Therefore, the total number of three-digit odd numbers that can be formed using the given digits is:
3 × 5 × 4 = 60
Hence, the correct answer is option C.
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Community Answer
How many three digit odd numbers can be formed by using the digits 1,2...
There can be only 3 digits at the last digit (1,3,5) the middle digit should have 5 No's. out of 6, because one digit is used in last digit similarly 1st digit will have 4 No's. Therefore : 4×5×3 ==> 60
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