How many 3 digit odd numbers greater than 600 can be formed using the digits 2 3 4 5 6 7?
Answers
They are 753 and 735
Answer:
36 3-digit odd numbers greater than 600 can be formed using the digits 2,3,4,5,6,7
Step-by-step explanation:
Considering that we have to make a 3 digit odd number:
Assuming that in the 3 digit odd number formed repetition is allowed (i.e.) the numbers 2,3,4,5,6,7 can be used again in the 3 digit odd number.
In the unit's place, since odd numbers are to be formed, the units digit can take the values 3,5,7 . Hence in 3 ways units digit can be filled using the given digits of 2,3,4,5,6,7
Likewise, tens digit can be filled in 6 ways as any of the numbers 2,3,4,5,6,7 can be utilized here
And, hundredth digit can be filled in 2 ways (i.e.) only 6 and 7 can come as the odd number has to be greater than 600.
Therefore, the number of 3 digit odd numbers that can be formed are
= (3 ways) (6 ways )( 2 ways )
= 36 ways
Hence, 36 3-digit odd numbers greater than 600 can be formed using the digits 2,3,4,5,6 and 7 assuming the digits are allowed to be repeated.