counting question

Question

Sam is the captain of an academic team in the class. A teacher teacher will choose 6 of the 29 students in the class to be on an academic team.

How many ways can 6 students be chosen as a team from this class given that Sam must be one of those students?

Answer 1

Kate, 

  Okay,

 

For the first member, we'll let that be Sam. the probability of his being on the team is 1 or 100%

 

for the second, there are 28 choices

 

and so on for the 6 spaces

 

1x28x27x26x25x24 = 11,793,600