Análise Combinatória

Multiple Choice

You are picking one team of four players from a group of nine players. How many different teams can be made?

• 3024

• 126

• 36

• 13

Fill in the Blanks

Find the total number of outcomes when choosing between vanilla, strawberry, chocolate or mint chocolate chip ice cream with fudge, butterscotch, strawberry or whipped cream for a topping, in a cone or a cup.

Fill in the Blanks

Find the total number of outcomes for picking a day of the week and a month of the year.

Multiple Choice

The number of 4-digit number greater than 5, 000 can be formed out of the digits 3, 4, 5, 6, and 7 (No digit is repeated). The number of such is _______.

• 72

• 27

• 70

• none of these

Multiple Choice

Jéssica possui 10 dvds distintos e decidiu organizá-los em um suporte que cabem 10 dvds. De quantas formas ela pode organizar esses dvds nesse suporte?

• 10

• 3628800

• 100

• 1

Multiple Choice

Picking a President, Vice-President, and Secretary from a group of 12.

• Permutation
• Combination
• Neither

Multiple Choice

How many outfits are possible with 5 pairs of jeans, 8 t-shirts, and 2 pairs of shoes?

• 15

• 40

• 80

• 10

Fill in the Blanks

How many different 5-digit zip codes are there if digits can’t be repeated?

Fill in the Blanks

Determine whether the question would be a permutation or combination, then answer the question.

You have selected 8 books this summer and want to read 6 of them, one at a time. In how many ways can you read the books (the books are not in a series).

Write your answer as a number. Ex: 5040

Fill in the Blanks

How many 5 digit numbers can be formed with the digits 9, 8, 7, 2, and 1 If Repetition of digits is not allowed ? 

Multiple Choice

What is the formula for calculating permutations of n distinct elements?

• P_n = n!

• P_n = n^2

• P_n = n + 1

• P_n = n - 1

Multiple Choice

Kimberly has seven colors of lanyards. She uses three different colors to make a key chain. How many different combinations can she choose?

• 210

• 5.040

• 6

• 35

Fill in the Blanks

Question 18

Fill in the Blanks

A DJ has to choose three songs for the last few minutes of his evening show. If there are nine songs that he feels are appropriate for that time slot, then how many ways can he choose and arrange to play three of those nine songs?

Multiple Choice

If you have 8 different spices and you want to select 3 of them to arrange in a row on your kitchen shelf, how many different arrangements are possible?

• 336

• 56

• 40320

• 720

Multiple Choice

A team of 17 volleyball players needs to choose three players to refill the water cooler.  How many different ways can the players be chosen?  

• 3360
• 560
• 4080
• 680

Fill in the Blanks

Six friends are going to play a ball game. Each team has 3 players. How many different team combinations are possible?

Multiple Choice

What is the formula for combinations represented in the image?

• C(n,p) = n! / p!(n - p)!

• C(n,p) = n! / (p!(n + p)!

• C(n,p) = n! / (n - p)!

• C(n,p) = p! / (n!(n - p)!

Multiple Choice

What is the total number of anagrams for the word PAPAGAIO considering the repetitions of letters?

• 1680

• 720

• 3360

• 5040

Fill in the Blanks

How many different 12-letter arrangements can be made using the letters in the word CARELESSNESS?

Multiple Choice

How many distinct ways can 6 children organize themselves in a circle?

• 60

• 120

• 30

• 90

Poll

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