<h3>27 different dessert platters can be offered by restaurant</h3>
<em><u>Solution:</u></em>
Given that,
A certain restaurant offers 6 kinds of cheese and 2 kinds of fruit for its dessert platter
Each dessert platter contains an equal number of kinds of cheese and kinds of fruit
<em><u>For this problem there are two scenarios:
</u></em>
1 ) one cheese and one fruit
2 ) two cheese and two fruit
<em><u>For one cheese and one fruit</u></em>
<em><u></u></em>
Use the combination formula

Where, n is total items and r is the items being chosen at a time

<em><u>For 2 cheese and 2 fruits</u></em>


So, total ways = 12 + 15 = 27
Thus, 27 different dessert platters can be offered by restaurant