The company has 120 pay periods in a year.
In a month, the company has 10 pay periods. To calculate the number of pay periods in a year, we multiply the number of pay periods in a month by the number of months in a year. Since there are 12 months in a year, the calculation is 10 pay periods per month x 12 months = 120 pay periods in a year. Therefore, the correct answer is 120 pay periods, which is not one of the given options.