Total number of four digit odd numbers that can be formed using 0 ,   1 ,   2 ,   3 ,   5 ,   7 are

Step-by-step solution

Odd numbers are 1 ,   3 ,   5 ,   7 We have to fill up four places like - - - - Units place can be occupied in 4 ways by 1 ,   3 ,   5 ,   7 . Thousands place can be occupied is 5 ways ( i.e. 1 ,   2 ,   3 ,   5 ,   7 ) remaining two positions can be filled in 6 ways each ∴ By fundamental principle of counting. Required no. of ways are = 5 × 6 2 × 4 = 7 2 0