The number of all 8 digit odd numbers is

The number of all 8 digit odd numbers is
  1. $45 \times 10^6$
  2. $90 \times 10^6$
  3. $9 \times 10^8$
  4. $9 \times 10^6$

Solution

For this, we must ensure that the last digit (8th digit) is odd, which means it can only be $1,3,7,5$ or 9 and first digit can't be zero. $\therefore$ The total no. of 8-digit odd numbers. $=($ Choices for first digit $) \times($ Choices for the remaining 6 digits) $\times$ Choices for the last digit. $=9 \times 10^6 \times 5=45 \times 10^6$

Asked in: AP EAMCET 2023 (17 May Shift 1)

Practice more Permutation Combination questions on Aicharya