Option b) 1960 is the total number of hours the electrician worked.
<u>Step-by-step explanation:</u>
It is given that, the full-time electrician will work 40 hours per week.
So, we need to know the total number of hours he could work in twelve months which is one year.
Therefore, one year has a total of 365 days.
<u>To find the number of weeks in twelve months :</u>
Number of weeks = Total days in one year / 7 days of week
⇒ 365 / 7
⇒ 52.14 (approximately 52 weeks)
The number of weeks in twelve months is 52 weeks.
Now, of this 52 weeks, the three weeks are given as vacation.
The total number of weeks the electrician worked = 52 weeks - 3 weeks
⇒ 49 weeks.
The electrician worked for 49 weeks.
To calculate the total number of hours he worked = 49 weeks × 40 hours
⇒ 1960 hours.
Therefore, the total number of hours the electrician worked is 1960 hours which is option b).