Discussion

Explanation:

Odd digits are 1, 3, 5, 7 and 9 i.e., 5 digits are available.

We have to form a 3-digit number.

Unit’s digit can be filled by either 1 or 3 or 5 or 7 or 9 i.e., in 5 ways.

Hundred’s digit can be filled by remaining 4 numbers in 4 ways.

Thousand’s digit can be filled by remaining 3 numbers in 3 ways.

∴ Total number of 3-digit numbers that can be formed with each digit being odd = 5 × 4 × 3 = 60.

Hence, 60.

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