# Question: please use probability method for this question as i have...

###### Question details

Please use probability method for this question as I have not learnt permutation/combination computation.

Providing a tree diagram will be helpful.

The 10 students who completed a special flying course are waiting to see if they will be awarded the one Distinction or the one Merit award for their efforts.

a) In how many ways can the two awards be given if:

i) the same student can receive both awards?

ii) the same student cannot receive both awards?

b) Assuming that a student cannot receive both awards, find the probability that a particular student receives:

i) the Distinction award

ii) the Merit award

iii) neither award.

c) Assuming that a student can receive both awards, find the probability that they receive at least one award.