# math

posted by .

How many digit number greater than 200 but less than 300 can be obtained from 1234,and what is the probability that a number choosen at random falls into this range

• math -

If 200<n<300, then the first digit must be 2. That leaves 4 digits for each of the remaining digits for a total of m=1*4*4*4 numbers.
If there is no limitation, the number of all possible (distinct) numbers is
N=4^4.

The probability that a number formed by the digits 1,2,3,4 will fall into that range is therefore m/N.

## Similar Questions

1. ### Math

Use the clues to figure out the six-digit decimal number. 1. It is greater than 3,000 and less than 3,200 2. All the digits are different 3. The digit in the undredths place isa multiple of 5. 4. The product of 5 and th digit in the …
2. ### math

if a whole number less than 10 is choosen at random, what are the odds that the number is greater than 5?
3. ### math

A two digit number is such that two times the tens digit is three less than thrice the units digit and four times the number is 99 greater than the number obtained by reversing the digits. Find the number.
4. ### math

A four-digit number is selected at random. What is the probability that its ones place is greater than its tens place, its tens place is greater than its hundreds place, and its hundreds place is greater than its thousands place?
5. ### finite math

suppose that 3 digits are selected at random from the set S={1,2,3,4,5,6} and are arranged in random order. Find the probability that the resulting 3-digit number is less than 300.
6. ### Math

This number is less than 200 and greater than 100. The ones digit is 5 less than 10. The tens digit is 2 more than the ones digits. What is the number ?
7. ### math

a two figure number is written down at random find the probability a)that the number is greater than 68 b)the number is a multiple of 9 c) it is less than 100 d) it contains at least one 5 (i.e a number such as 15 or 55
8. ### Math

A 3-digit positive integer is selected at random. Find the probability that A) The last two digits of the number is 22 B) The number is greater than 900 C) The number is less than 100 D) The number contains at least one digit 8
9. ### Algebra

Determine all pairs (m, n) of a two-digit natural number m and a single-digit natural number n satisfying the following conditions. 1) If the number n is given as the number between the two digits of the number m, then a three-digit …
10. ### Math

Determine all pairs (m, n) of a two-digit natural number m and a single-digit natural number n satisfying the following conditions. 1) If the number n is given as the number between the two digits of the number m, then a three-digit …

More Similar Questions