Q3 REVIEW

Quarter 3

​REVIEW

​

​Permutation, Combination and Probability

Multiple Choice

1. Which of the following illustrates permutation?

• a. Choosing books to buy from a shop

• b. Forming a committee from a group of 7 persons

• c. Assigning chairs to the participants

• d. Selecting questions to answer

Fill in the Blanks

How many ways can you arrange 6 different photos in a shelf?

Fill in the Blanks

Nine beads are to be placed in a bracelet. How many ways can they be arranged if the bracelet has no clasp?

Fill in the Blanks

How many ways can letters of SWIMMING be arranged?

Multiple Choice

If P ( n, 8 ) = 40,320 , what is n?

• 5

• 6

• 7

• 8

Fill in the Blanks

Arthur packed 6 different shirts, 4 different pants and 3 pairs of shoes. How many outfits can she wear?

Fill in the Blanks

How many combinations can be made from the letters E,F,G,H and I taken three at a time?

Multiple Choice

The school id number consists of 2 letters and 5 digits. How many possible school id can the School’s Division Office dispense if repetition of numbers is NOT allowed?

• (26)(26)(10)(10)(10)(10)(10)

• (26)(25)(10)(9)(8)(7)(6)

• (26)(26)(10)(9)(8)(7)(6)

• (26)(25)(10)(10)(10)(10)(10)

Fill in the Blanks

There are 5 different Mathematics books and 4 different Science books. In how many ways can the books be arranged on a shelf if books of the same subject must be placed together?

Fill in the Blanks

In how many ways can we arrange 7 flowers if only 5 flowers will fit on the vase?

Fill in the Blanks

Find the number of different ways that a family of 5 can be seated around a circular table with 5 chairs.

Fill in the Blanks

There are 8 people in a dinner gathering. In how many ways can they be arrange around a circular table if 3 insist on sitting beside each other?

Multiple Choice

Mr. Patrick made 15 questions for his students to answer. If the students are asked to answer only 7 questions, in how many ways can the students choose the questions?

• 32,432,400

• 6,435

Fill in the Blanks

In the Chess club there are 6 boys and 5 girls in the list of possible contestants in the tournament. How many ways can a group of 3 boys and 2 girls be formed?

Multiple Choice

When a die is thrown, what is the probability of getting a number greater than 3?

• $$\frac{1}{2}$$  

• $$\frac{2}{3}$$   

• $$\frac{3}{4}$$  

• $$\frac{4}{5}$$  

Multiple Choice

If a coin is tossed three times, what is the probability of getting at least two tails?

• $$\frac{3}{8}$$  

• $$\frac{1}{8}$$  

• $$\frac{1}{2}$$  

• $$\frac{2}{3}$$  

Multiple Choice

In rolling a pair of dice, what is the probability that the sum of the numbers is 7 or 11?

• $$\frac{2}{9}$$  

• $$\frac{4}{9}$$  

• $$\frac{5}{9}$$  

• $$\frac{1}{3}$$  

Multiple Choice

A bag contains 4 blue balls, 5 red balls and 6 green balls. A ball is taken at random. What is the probability that it's not green?

• $$\frac{3}{5}$$  

• $$\frac{3}{4}$$  

• $$\frac{4}{5}$$  

• $$\frac{10}{15}$$  

Multiple Choice

Two cards are drawn without replacement from a regular deck of cards. What is the probability that the first card is a red face card and the second card being a club?

• $$\frac{9}{22}$$  

• $$\frac{1}{34}$$  

• $$\frac{19}{52}$$  

• $$\frac{1}{36}$$