Algebra 2

posted by .

Using the integers 2,3,4,5,
How many 3-digit odd numbers less than 300 can be formed if no repetition of digits is allowed?
Please explain and show work.

  • Algebra 2 -

    Since it's an odd number LESS than 300 we know that the first number can only be 2 and therefore we have only 1 choice for the first unit. Since it's an ODD number we know that the last unit is either 3 or 5 (2 choices). No we are left with either 4 and 3 or 5 (depending on which one was chosen for the last unit), therefore we have 2 choices for the middle unit. Hence, the answer is 1x2x2 = 4 numbers.
    Just for assurance, let's list out the numbers
    235
    245
    253
    243

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Data management

    from the digits 0,1,2,3,4,5,6,7,8,9 find the number of a) 4-digit numbers with repetition of digits b) 4-digit numbers without repetition of digits c) the number of odd 4-digit numbers with no repetition of digits d) the number of …
  2. data management

    from the digits 0,1,2,3,4,5,6,7,8,9 find the number of a) 4-digit numbers with repetition of digits b) 4-digit numbers without repetition of digits c) the number of odd 4-digit numbers with no repetition of digits d) the number of …
  3. math

    How many 4-digit numbers can be formed using the digits 1, 2, 3, 4, 5, 6, 7 if repetition of digits is allowed?
  4. holy heart

    Using digits 2, 3, 5, 6, 7 and 9, how many 3-digit numbers can be formed that are divisible by 5 such that the repetition of digits is not allowed?
  5. algebra

    Consider making a four-digit I.D. number using the digits 3,5,8, and 0 a. How many I.D. numbers can be formed using each digit once?
  6. Algebra2...........

    Using the integers 2,3,4,5, How many 3-digit odd numbers less than 300 can be formed if no repetition of digits is allowed?
  7. Algebra 2

    Using the integers 2,3,4,5, How many 3-digit odd numbers less than 300 can be formed if no repetition of digits is allowed?
  8. Math

    Given the digits 1,2,5,7,8,9,0 and if repetition are not allowed, answer each of the following: A) how many 3 digit numbers canbve formed that are divisible by 5?
  9. stat (grade 12) pls help

    How many 3-digit numbers can be formed from the four integers 0, 1, 2, 3, if; a) no digit is repeated, b) Repetition is allowed, c) The number is even and repetition is not allowed, d) The number is odd and repetition is not allowed.
  10. math

    How many 3-digit numbers can be formed using the digits 1, 2, 3, 4, 5, 6, 7 if repetition of digits is not allowed?

More Similar Questions