Question 1: A box contains 8 red balls and 10 yellow balls. How many different ways can two balls be randomly selected with the two balls being the same color?
a. C(8,2)C(10,2)
b. C(18,2)
c. C(18,1) + C(17,1)
d. C(8,2) + C(10,2)
e. None of the above
Question 2: How many different numbers can be formed by rearranging the digits of 858,585,555?
a. 362,880
b. 504
c. 20,160
d. 36
e. 84
Question 3: A phone number (without the area code) consists of 7 digits from 0 through 9 and digits may be repeated. If all the phone numbers in Brownsville, Oregon have the first three digits 466, how many different phone numbers are possible?
a. 10,000,000
b. 10,000
c. 4,782,969
d. 6,561
e. 5,040
Question 4: Marla's mom will let her select a puppy, a kitten, or a hamster. If there are 15 puppies, 12 kittens, and 9 hamsters in the pet store in how many different ways can Marla select one pet to take home?
a. 1,620
b. 36
c. 27
d. 45
e. 180
Question 5: A coin is tossed 10 times. How many sequences of 7 heads and 3 tails are possible?
a) 120
b) 210
c) 720
d) 604,800
e) 39,916,800
Question 6: A box has 9 apples and 6 oranges in it. In how many ways can you choose 10 pieces of fruit of which at least 7 are apples?
a) 34,836,480
b) 32,659,200
c) 861
d) 855
e) 720