Respuesta :

Answer:

50 two-digit odd numbers are formed

Step-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 numbers

and 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.

This involves permutations and combinations.

45 two-digit odd numbers are possible.

  • We are told that natural numbers with two digits are formed from the numbers 0 through 9. This means that 0 and 9 are included.

  • Now, if we count from first natural number 1 to the last 2 digit natural number, we will arrive at 99.

  • Now, we are dealing with only 2 digit natural numbers, which means;

Total 2 digit natural numbers available = 99 - 9 = 90

(Since 9 is the last single digit number)

  • If we have 90 two digit numbers, then it means that half of it will be even numbers and half will be odd numbers.

  • Thus; possible 2 digit odd numbers that can be formed since there will be replacement = 90/2 = 45

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