There are 55 students in a school participating in a mathematics competition. It is known that if the contestants are randomly divided into four groups, there must be more than 2 girls in one group. It is also known that there must be boys among any 10 contestants. What is the number of boys participating? For how much.
某校有55个同学参加数学竞赛，已知若将参赛人任意分成四组，则必然有一组的女生多于2人，又知参赛者中任何10人中必有男生，则参赛男生的人数为多少．
<gadget id="calculator">4 * 2</gadget>
<output>8</output>

<gadget id="calculator">8 + 1</gadget>
<output>9</output>

<gadget id="calculator">55 - 9</gadget>
<output>46</output>

<result>46</result>