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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