Question: The Board of Trustees at NBCC has 10 members.Each year, they elect a 4-person committee to oversee buildings and grounds.Each year, they also elect a chairperson, vice chairperson and secretary.These selections are made from the 10 members of the Board.

a)When the board elects the buildings and grounds committee, how many different 4-person committees are possible?

b)When the board elects the 3 officers (chairperson, vice chairperson and secretary), how many different slates of candidates are possible?

Question:

In a class of 35 students, 25 are taking mathematics, 8 are taking history and 5 are taking both mathematics and history.If a student is chosen at random from this class, what is the probability that he or she is taking mathematics or history?