SOLUTION:
If repetition is not allowed then how many numbers between 2000 and 3000 can be formed using the digits from 0 to 7?
Algebra.Com
Question 1191853:
If repetition is not allowed then how many numbers between 2000 and 3000 can be formed using the digits from 0 to 7?
Answer by math_tutor2020(3817) (Show Source): You can put this solution on YOUR website!
The left most slot (thousands digit) can only be a 2 if we want the number between 2000 and 3000.
The set {0,1,2,3,4,5,6,7} is reduced to {0,1,3,4,5,6,7}
The original set had 8 items in it and the new reduced set has 7 items in it.
For the second slot, there are 7 choices to pick from (pick anything in that reduced set).
Then the third slot has 7-1 = 6 items to pick from if we aren't allowed to repeat digits.
Lastly, the final slot has 6-1 = 5 items to pick from.
Multiply those values: 7*6*5 = 42*5 = 210
Answer: 210
RELATED QUESTIONS
If no repetition is not allowed then how many numbers between 2000 and 3000 can be formed (answered by ikleyn)
If no repetition is not allowed then how many numbers between 2000 and 3000 can be formed (answered by ikleyn)
If repetition is not allowed then how many numbers between 2000 and 3000 can be formed... (answered by ikleyn)
How many 4 number PIN numbers can be formed using the digits 0-9 if repetition is... (answered by Fombitz)
If repetition is allowed then how many different three digits numbers can be formed... (answered by Alan3354,ikleyn)
How many different numbers of five digits can be formed from the digits 2, 3, 0, 7, 9, 5... (answered by mathstutor458)
How many odd numbers less than 1000 can be formed by using the digits 0, 3, 5, 7 when... (answered by stanbon)
How many natural numbers that are less then 3000 can be made using the digits 0-6 if... (answered by stanbon)
How many 4-digit numbers can be formed using the digits 1, 2, 3, 4, 5, 6, 7 if... (answered by robertb)