AMC12 Combinatorics & Probability 2

Question 1

How many distinct arrangements exist of the letters in MISSISSIPPI?

Accepted Answer

34650

Answer

11520

Answer

5040

Answer

27720

Question 2

How many ways can 4 books be chosen from 10 if order does not matter?

Accepted Answer

210

Answer

5040

Answer

120

Answer

840

Question 3

A committee of 3 is chosen from 5 men and 4 women. How many committees have exactly 2 women?

Accepted Answer

30

Answer

18

Answer

24

Answer

60

Question 4

If P(A)=0.4 and P(B)=0.5 and A and B are independent, what is P(A and B)?

Accepted Answer

0.2

Answer

0.9

Answer

0.1

Answer

0.45

Question 5

How many diagonals does a convex octagon have?

Accepted Answer

20

Answer

28

Answer

16

Answer

12

Question 6

A fair coin is flipped 4 times. What is the probability of exactly 2 heads?

Accepted Answer

3/8

Answer

1/4

Answer

1/2

Answer

5/16