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.
