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Grade:
8
, Subject:
Math
, Topic:
Probability and Statistics Combination and Permutations
Question 1:
Frank, Gordon, Irene, Jack, Mark, Molly and Nick are competing in a race. They all have equal odds to win the race. What are the possible number of standings on the medal podium (first, second and third)?
420
35
840
210
Question 2:
Allen, Bill, Frank, Gordon, Irene, Jack, Mark, Molly and Nick are in a class. Teacher wants to select four of them to help in a class projects. How many such selections are possible?
15120
126
3024
630
Question 3:
In a class there are seventeen girls and seventeen boys. Three boys and three girls will be selected to attend a charity event. Which of the following expression represents the total number of possible selections?
^{17}
C
_{3}
×
^{17}
C
_{3}
^{17}
C
_{3}
+
^{17}
C
_{3}
^{17}
P
_{3}
×
^{17}
P
_{3}
^{17}
P
_{3}
+
^{17}
P
_{3}
Question 4:
A dice with six faces is tossed. Which of the following expression represents possible outcome of a number on the top?
^{6}
C
_{1}
^{6}
C
_{6}
^{6}
C
_{3}
^{6}
C
_{2}
Question 5:
In a class, there are twenty girls and twenty-five boys. Three boys and three girls will be selected to attend a charity event. What is possible the number of selections?
1140
2300
2622000
5244000
Question 6:
Which of the following expression represents combinations with repetition?
Question 7:
Which of the following expression represents permutation with repetition?
n
÷
r
n
^{−r}
n
×
r
n
^{r}
Question 8:
There are five flavors of icecream; mint-chocolate, chocolate, strawberry, mango and vanilla. You can have three scoops and you can repeat any flavor. How many possible selections can you have? (hint: order does not matter)
125
10
35
20
Question 9:
Walter is building a new house. He can choose diferent types of brick for the front and the back of the house from 12 different types of bricks. He can also have same brick in the front and back of the house. How many possible selections of bricks can be made? (hint: order does matter)
24
144
60
132
Question 10:
A number lock has three digits that can be used to lock and unlock it. Each digit can have a number from one to five only. (i.e. 1, 2, 3, 4 and 5). A number can be repeated any number of times. How many different selection of three-digit number are possible?
5
125
25
20
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