10. 78 students stand in a row. Starting from the left, give a badminton shuttlecock to the first person, and then give a badminton shuttlecock every 2 people. Starting from the right, give a table tennis ball to the first person, and then give a table tennis ball every 3 people. The number of students who have both a badminton shuttlecock and a table tennis ball is $\qquad$ people.
$6$