Nagwa uses cookies to ensure you get the best experience on our website. Learn more about our Privacy Policy.

Please verify your account before proceeding.

In this lesson, we will learn how to find the number of outcomes and the probability using combinations.

Q1:

Find the number of ways to select 3 different letters from the set { , , , , , , , } c d e f g h k j .

Q2:

How many teams of four can be selected from a group of 20 people?

Q3:

A team of four is to be randomly selected from a group of ten boys and ten girls. Determine the probability that a team will contain only girls.

Q4:

Thirteen boys and fifteen girls entered a draw for five free movie tickets. What is the probability that all five tickets were won by boys?

Q5:

A computer generates four-digit codes using the numbers 0โ9 with no repeated digits. How many unique codes can be generated?

Q6:

Dina invited 4 of her 24 friends over for a movie night. If she chose to invite her friends at random, what is the probability that Engy, Sally, Farida, and Dalia are chosen?

Q7:

Which of the following represents the number of ways of selecting 2 students out of 24 for a class activity?

Q8:

A small combination padlock can be opened by entering three different specified numbers from 1 to 9 in any order. Adel has 10 attempts to guess the combination. Determine the probability of him opening the lock.

Q9:

A bowl contains 25 marbles, each with a different colour. If Amir selects four marbles from the bowl, what is the probability that he selects the marbles with the four colours that he wants?

Q10:

Mariam wants to visit cities across the US, and she has placed the names of 32 cities into a hat. If she randomly draws 3 names from the hat, what is the probability that she gets Savannah, Austin, and Seattle?

Q11:

In how many different ways can 10 motorcycles and 9 bicycles be arranged in 2 spaces if the order is not important?

Q12:

Which of the following represents the number of ways in which the letters of the word โzebraโ can be rearranged?

Q13:

Which of the following represents the number of ways in which 8 different digits can be rearranged to form an 8-digit number?

Q14:

Seven boys and eight girls entered a draw for four free movie tickets. What is the probability that all four tickets were won by boys?

Q15:

Which of the following represents the number of ways of selecting 2 students out of 17 for a class activity?

Donโt have an account? Sign Up