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WorksheetsQ3W6 - FEB. 29, 2024 - FCT, Permutation & Combination
Total questions: 10
Worksheet time: 20mins
What is the counting principle in fundamental counting techniques?
The counting principle states that if there are m ways to do one thing and n ways to do another, then there are m - n ways to do both things together.
The counting principle states that if there are m ways to do one thing and n ways to do another, then there are m + n ways to do both things together.
The counting principle states that if there are m ways to do one thing and n ways to do another, then there are m / n ways to do both things together.
The counting principle states that if there are m ways to do one thing and n ways to do another, then there are m * n ways to do both things together.
Calculate 5 factorial.
120
30
100
25
How many permutations can be made from the letters A, B, C, D?
12
6
24
18
In how many ways can a committee of 3 be chosen from a group of 10 people?
15
6
50
120
Solve the following application problem: In how many ways can a president, vice president, and treasurer be chosen from a group of 10 people?
120
30
90
45
What is the probability of drawing 2 red balls and 1 blue ball from a bag containing 5 red balls and 3 blue balls?
The probability is (5C2 * 3C1) / 8C3 = (10 * 3) / 56 = 30/56 = 5/28
The probability is (5C2 * 3C1) / 8C3 = (10 * 3) / 56 = 30/56 = 15/28
The probability is (5C2 * 3C1) / 8C3 = (10 * 3) / 56 = 30/56 = 1/28
The probability is (5C2 * 3C1) / 8C3 = (10 * 3) / 56 = 30/56 = 15/28 + 1
A lock has 4 dials, each labeled with the digits 0-9. How many possible combinations are there if each digit can only be used once?
24
362880
5040
120
In how many ways can 4 books be arranged on a shelf?
10
24
12
6
If there are 6 people in a race, how many different ways can they finish in first, second, and third place?
6
120
720
24
A bag contains 8 green, 4 blue, and 3 red marbles. What is the probability of drawing 2 green and 1 blue marble?
0.008 or 0.8%
0.25 or 25%
0.75 or 75%
0.1123 or approximately 11.23%
