How many 5-digit numbers can be formed using

mars6svhym

mars6svhym

Answered question

2022-05-07

How many 5-digit numbers can be formed using ( 0 9 )?

Answer & Explanation

priffEmipsy4i37m

priffEmipsy4i37m

Beginner2022-05-08Added 17 answers

Explanation:
You can have up to 10 combinations for each digit, times the number of... Numbers you want.
So you have n = 10 5 = 100 000 .
zuzogiecwu

zuzogiecwu

Beginner2022-05-09Added 3 answers

Step 1
The trick is to realize that a number can not start with a zero!
Now, there are 10 5 ways in which the digits 0-9 can be chosen for the five places of a five digit number. Out of these, 10 4 start with zero (once we start with 0, there are only 4 slots to fill, where we have 10 choices each).
Step 2
So, the number of possible five digit numbers is
10 5 - 10 4 = 9 × 10 4 = 90000
These are the numbers 10000 to 99999. We could, of course, just have counted them to get 99999 - 10000 + 1 = 90000 .

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