Question #1 A bag has 10 red, 3 yellow, and 5 blue marbles. You pick one. What is the probability that you select a blue marble?

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Presentation transcript:

Question #1 A bag has 10 red, 3 yellow, and 5 blue marbles. You pick one. What is the probability that you select a blue marble?

Answer #1

Question #2 A card is chosen at random from a standard deck of 52 cards. What is the probability that you select a jack?

Answer #2

Question #3 You have 10 packages of M&Ms and 15 packages of Skittles. In how many ways can you pick 8 and have 3 be M&Ms?

Answer # (10C3*15C5)

Question #4 In how many ways can you line up the letters in the word “REARRANGE”

Answer # Work: 9!/(2!2!3!)

Question #5 A password consists of 3 digits, repetition is not allowed, followed by 2 letters, repetition is allowed. What is the total number of possible passwords?

Answer #5 486,720 Work 10*9*8*26*26

Question #6 A card is chosen at random from a standard deck of 52 cards. What is the probability that you select a jack, queen, king, OR ace?

Answer #6

Question #7 Forty students apply for a scholarship awarded by the headmaster. One is for $5000, one is for $1000, and the last is for $500. In how many ways can the recipients be selected?

Answer # Work: 40P3 or 40*39*38

Question #8 In how many ways can ten students from a class of twenty line up?

Answer #8 About 6.7x10^11 20P10 or 20*19*18…11

Question #9 You are ordering a new bike. You have 5 wheel choices, 3 color choices and 2 seat choices. How many possible bikes can you design?

Answer #9 30 Work: 5*3*2

Question #10 In how many ways can a committee of 4 students be selected from a pool of 7 students?

Answer #10

Question # 11 In how many ways can you arrange six items on a circular display?

Answer # Work: 5! Or 6!/6

Question #12 In how many ways can the batting order for the 9 starting players be announced?

Answer # Work: 9! Or 9P9

Question #13 DS Pizza Shop offers 4 different cheeses and 10 different pizza toppings. How many ways can you order a pizza with 1 type of cheese and 2 different toppings?

Answer # Work: 4C1*10C2

Question #14 In how many ways can 3 males and 3 females be seated in a line if gender must alternate?

Answer #14 72 If start male: 3*3*2*2*1*1 If start female: 3*3*2*2*1*1 Add options together

Question #15 A bag contains 8 blue marbles and 4 red marbles. What is the probability of picking exactly 3 red if you are selecting five marbles from the bag?

Answer #15

Question #16 Five different mathematics textbooks are being arranged on a student’s desk. How many different arrangements are possible?

Answer #16 120

Question #17 A man has 5 shirts and 3 ties in his suitcase. How many different shirt and tie combinations can he wear?

Answer #17 15

Question #18 How many different four digit codes are possible if the first digit can not be 0 and repeated digits are allowed?

Answer #

Question #19 If 4 people enter a bus (one at a time) having 9 vacant seats, in how many ways can they be seated?

Answer # *8*7*6

Question #20 How many different arrangements are there of the letters in the word ROSE?

Answer #20 24

Question #21 Companies whose stock are listed on the New York Stock Exchange have their company name represented by either 1, 2, OR 3 letters (repetition of letters is allowed). What is the maximum number of companies that can be listed on the NYSE? Hint: One letter codes + Two letter codes + Three letters codes

Answer #21 18,278 ( )

Question #22 The United Nations Security Council has 15 member nations. In how many ways can the representatives be seated around a circular table if each nation has one representative?

Answer #22 14!

Question #23 How many different vertical arrangements are there of 10 flags if 4 are white, 3 are blue, 2 are red, and 1 is green?

Answer #23 12,600

Question #24 A take-out restaurant offers a selection of 5 main dishes, 4 vegetables, and 3 desserts. In how many ways can a family chose a meal that consists of 2 main dishes, 3 different vegetables, and 1 dessert?

Answer #24 120

Question #25

Answer #25