Question

How many three digit numbers are there in which all digits are odd?

Answer 1

first place ( 1,3,5,7,9) totka 5 digits
same as second and third place

Answer 2

Answer:

Hence, the total number of three digit numbers in which all digits are odd are:

125

Step-by-step explanation:

We have to find the number of three digit numbers such that all the three digits of the number are odd.

As we know that there are total 10 digits (0-9) out of which five are odd.

( i.e. 1,3,5,7 and 9)

Hence, the number of such numbers possible are:

5×5×5=5^3=125.

( Since,

• The first digit of the number has 5 choices
• similarly the second digit of the number have 5 choices.
• same is the case for the third digit of the number)

Hence, the total number of three digit numbers in which all digits are odd are:

125