Answer: The required number of arrangements is 1000.
Step-by-step explanation: We are given to find the number of arrangements of 3 digits that can be formed from the digits 0 to 9.
Since we are talking about the 3 digit arrangements, not the 3 digit numbers,
so we have 10 options 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 for each of the three places in the arrangement.
Therefore, the number of 3 digit arrangements that can be formed is given by
[tex]n=10\times 10\times 10=1000.[/tex]
Thus, the required number of arrangements is 1000.
Answer:
The required number of arrangements = 900
Step-by-step explanation:
Digits through which the number is to be formed : 0, 1, 2, 3, 4, ......9
Total number of digits available to form the number = 10
Now, No. of digits in the number which is to be formed = 3
So, number of choices available for 1st digit = 9 (0 will not be included)
Number of choices available for 2nd digit = 10
Number of choices available for 3rd digit = 10
So, Total number of arrangements of 3 digits which can be formed from the digits 0 to 9 = 10 × 10 × 9
= 900
Therefore, The required number of arrangements = 900
