Lesson 1.2
1.2 The product rule for counting Quiz: AQA Further Maths, Unit 1
20 questions
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Lesson 1.2, The product rule for counting: 20 multiple choice questions for the AQA GCSE Further Maths (8365), Unit 1: Number, written with Revision Ninja.
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The 20 questions
-
Using the product rule, how many outcomes are there when a task with 4 outcomes is followed by a task with 7 outcomes?
- 28
- 11
- 14
- 21
-
How do you find the total number of outcomes for independent sequential choices?
- Add the choices
- Subtract the choices
- Multiply the choices
- Divide the choices
-
A shop has 5 shirts and 3 pairs of trousers. How many shirt and trouser outfits are possible?
- 25
- 8
- 12
- 15
-
How many two-letter codes can be made from the 26 letters of the alphabet when letters may repeat?
- 650
- 52
- 676
- 702
-
A route needs one bus and one train. There are 3 bus services and 2 train services. How many routes are possible?
- 6
- 5
- 9
- 12
-
How many 4-digit PIN codes can be made from the digits 0 to 9 when digits may repeat?
- 9000
- 1000
- 5040
- 10000
-
How many 3-digit numbers can be formed from the digits 1, 2, 3 and 4 when digits may repeat?
- 81
- 12
- 24
- 64
-
What condition is required to apply the product rule for counting directly?
- Independent choices
- Dependent choices
- Equal choices
- Mutually exclusive choices
-
How many 4-digit even numbers can be formed from the digits 1, 2, 3, 5 and 6 with no repeated digit?
- 24
- 60
- 40
- 48
-
In how many orders can three different books be arranged on a shelf?
- 3
- 6
- 27
- 9
-
A licence plate has 2 letters followed by 3 digits. Letters come from 26 and digits from 0 to 9, with repetition allowed. How many plates are possible?
- 676000
- 1757600
- 6760
- 260000
-
A meal has one starter, one main and one dessert. There are 4 starters, 3 mains and 2 desserts. How many different meals are possible?
- 9
- 26
- 24
- 12
-
How many 3-digit numbers with no repeated digits can be formed from the digits 2, 4, 6 and 8?
- 24
- 64
- 12
- 36
-
A sandwich is made from 3 types of bread and 4 fillings, choosing one of each. How many sandwiches are possible?
- 7
- 16
- 24
- 12
-
A coin is flipped and a six-sided die is rolled. How many combined outcomes are there?
- 36
- 6
- 7
- 12
-
How many 3-digit numbers greater than 500 can be formed from the digits 2, 5, 7 and 9 with no repetition?
- 12
- 24
- 18
- 9
-
A code has 2 different capital letters from A to E followed by 3 different digits. How many codes are possible?
- 12000
- 14400
- 3600
- 720
-
A club must choose a president, a secretary and a treasurer from 6 members, with each role held by a different person. How many ways are there?
- 720
- 216
- 120
- 20
-
There are 2 routes from town A to B, 3 from B to C and 4 from C to D. How many routes from A to D pass through B and C?
- 24
- 9
- 12
- 60
-
How many 3-digit even numbers can be formed using the digits 0, 1, 2, 3 and 4 when repetition is allowed?
- 40
- 75
- 50
- 60
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