There are ten hats, each of a different color, two of which are cotton hats (each priced at 30 yuan), five are leather hats (each priced at 50 yuan), and three are fur hats (each sold at 10 yuan). May I ask how many different combinations there are to buy 5 hats so that the total price is greater than 101 yuan and less than 149 yuan?
有十顶帽子，每顶都不同颜色，其中二顶为棉帽(每顶售价30元)，五顶为皮帽(每顶售价50元)，三顶为毛帽(每顶售价10元)．请问共有多少种不同的组合方式购买5顶帽子使得总价大于101元并且少于149元？
<gadget id="calculator">5 * 2 * 1 * 1</gadget>
<output>10</output>

<gadget id="calculator">5 * 1 * 3</gadget>
<output>15</output>

<gadget id="calculator">10 + 15 + 10</gadget>
<output>35</output>

<result>35</result>