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How many​ four-digit odd numbers less than 4000 can be formed using the digits 2​, 3​, 4​, 5​, 6​, and 9​?

Sagot :

sqdancefan

Answer:

  216

Step-by-step explanation:

You want the number of 4-digit odd numbers less than 4000 that can be made from the digits {2, 3, 4, 5, 6, 9}.

Less than 4000

The requirement the number be less than 4000 means the first digit must be 2 or 3.

Odd

The requirement the number be odd means the last digit must be 3, 5, or 9.

Other digits

The remaining digits can be any of the 6 digits allowed, so the total number of possible numbers is ...

  2 · 6 · 6 · 3 = 216

216 numbers can be formed.

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