Two-digit natural numbers are formed, with replacement, from the digits 0 through 9.How many two-digit odd numbers are possible?

Accepted Solution

Answer:50 two-digit odd numbers are formedStep-by-step explanation:From the digits from 0 to 9 to get two -digit odd numbers you will need to pair numbers from 0 to 9 as the first digit of the numbers = 10 possible numbersand also you will need to pair the first digits with an odd number as the second digit .to get the odd numbers as second digits you will need to pick from  1 , 3 , 5 ,7 and 9 = 5 possible numbers.zero is  considered in the first digit because zero can start a two digit natural number and zero is not considered in the second digit because zero is an even number.to get the possible two -digit number you will have to multiple the possible numbers for the first digits with the possible numbers for the second digits which is =         10 * 5 = 50 hence there will be 50 possible two-digit  odd numbers.