Answer:
Total number of ways = 5C1 = 5.
Explanation:
There are 7 people in the front row (including you and your friend). So it means n = 7.
The host randomly chooses 3 people from the front row to be contestants. So it means r = 3.
Since all 3 people are equally important and order of selection does not matter. It is the case of Combinations, so we use nCr formula.
Here, the question says to find how many way you and your friend both be chosen. So your and your friend's selection is 2C2 and third person's selection would be (7-2)C1.
Total number of ways = 2C2 x (7-2)C1.
Total number of ways = 1 x 5C1.
Hence, Total number of ways = 5C1 = 5.