PA HELP PO SA COMBINATION WORD PROB, TY
1. How many ways can you pick five students for the student council when there are twelve people running?
2. There are 10 points marked in a circle. How many different triangles can be formed?
3. How many winning combinations are there in a 6/49 PCSO lotto draw?
1. How many ways can you pick five students for the student council when there are twelve people running?
2. There are 10 points marked in a circle. How many different triangles can be formed?
3. How many winning combinations are there in a 6/49 PCSO lotto draw?
Answers & Comments
Answer:
1. 792
2. 120
3. 13,983,816
Step-by-step explanation:
1. Cr = n! / (r! * (n - r)!)
where,
n = total number of items
r = number of items to be chosen without regard to order
Then,
n = 12
r = 5
Solve:
12C5 = 12! / (5! * (12 - 5)!) = 792 different ways to pick five students for the student council.
2. Same formula:
10C3 = 10! / (3! * (10 - 3)!) = 120.
3. 49C6 = 49! / (6! * (49 - 6)!) = 13,983,816.