Best Answer

1,2,3,4

1+2+3+4=10

4 times 3 times 2 times 1 =24

24 counting numbers

More answers

Lvl 2

How many counting numbers have three distinct nonzero digits such that the sum of the three digits is 23?

Q: How many counting numbers have four distinct nonzero digits such that the sum of the four digits is 10?

Write your answer...

Submit

Still have questions?

Continue Learning about Statistics

1235; 1253; 1325; 1352; 1523; 1532; 2135; 2153; 2315; 2351; 2513; 2531; 3125; 3152; 3215; 3251; 3512; 3521; 5123; 5132; 5213; 5231; 5312; 5321. These are 24 such numbers which have four distinct nonzero digits and add up to 11.

4,536 whole numbers or mixed numbers. 5,040 pure decimals.

There are 625 of them - too many to list.

If the digits may be repeated, and if the number may begin with a zero, then it's just all ofthe counting numbers up to 999,999,999.If it can't begin with a zero, then you have to throw away the first 99,999,999 and there canonly be 900,000,000.

For a 3 digit number, the left most or the most significant digit cannot be zero. So it can be 1,2,3,4,5,6,7,8 or 9 which is 9 possibilities. The middle number can be 0,1,2,3,4,5,6,7,8,9 which is 10 possibilties but one of the digits has been chosen already as the first digit, so the possibilities are only 9. The right most number can be 0,1,2,3,4,5,6,7,8,9 which is 10 possibilities but two of the digits have been already used by the left most and the middle digits. That leaves only 8 possibilities. So the total number of three digit numbers that have three distinct digits is 9 x 9 x 8 = 81 x 8 = 648 possibilities

Related questions

1235; 1253; 1325; 1352; 1523; 1532; 2135; 2153; 2315; 2351; 2513; 2531; 3125; 3152; 3215; 3251; 3512; 3521; 5123; 5132; 5213; 5231; 5312; 5321. These are 24 such numbers which have four distinct nonzero digits and add up to 11.

Two - all nonzero numbers are significant.

3 if there is a decimal present you start counting from the left with the first nonzero number and continue until there are no numbers left

Not too sure of the question but how about 0.77775

There are only five distinct odd digits.

No, counting numbers you can ignore or say they have an infinate number of significant digits. By counting numbers I mean things you count, or non measurements, or numbers you wouldn't round to significant digits anyway . Measurements always have significant digits.

155

5555

4,536 whole numbers or mixed numbers. 5,040 pure decimals.

Three - all nonzero digits are significant.

Three - all nonzero digits are significant.

Three. All nonzero digits are significant.