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    My brain is stuck on this question:

    At one of the University's Open Days there are 3 first year, 3 second year and 4 third year maths
    students who have agreed to help on the day.
    How many different ways can they arrive at the common room in the morning for their briefing from
    the Open Day organiser
    (a) assuming they all arrive at random?
    (b) if the first person to enter the room is a first year student, and the last person to enter the
    room is a third year student?
    (c) if all of the third year students arrive in sequence, one after another?
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    (Original post by AFraggers)
    My brain is stuck on this question:

    At one of the University's Open Days there are 3 first year, 3 second year and 4 third year maths
    students who have agreed to help on the day.
    How many different ways can they arrive at the common room in the morning for their briefing from
    the Open Day organiser
    (a) assuming they all arrive at random?
    (b) if the first person to enter the room is a first year student, and the last person to enter the
    room is a third year student?
    (c) if all of the third year students arrive in sequence, one after another?
    Post what you have done so far. What do you think, people aren't going to do it all for you.

    here is a hint to get you thinking:

    a) there are 10 people arriving together in a random order. How many choices for the first person to arrive, how many for the second, what about the third etc. Apply the product rule.
 
 
 
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