Product rule for counting – Hard
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Question 1 of 23
1. Question
A 3-digit code has the digits 0-9. The first number is even, the second number is a cube number and the last number is even. How many combinations are there?
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Question 2 of 23
2. Question
A canteen sells 6 different meals, 8 pieces of fruit and 12 drink options. How many combinations are there?
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Question 3 of 23
3. Question
A shop sells 9 different flavoured sandwiches, 11 types of fruit and 8 different coffees. How many combinations are there?
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Question 4 of 23
4. Question
A 4-digit code has the numbers 1-7. The first and second digit are multiples of 3 and the third and fourth digits are prime numbers. How many combinations are there?
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Question 5 of 23
5. Question
A shop sells 6 different meals, 14 different drinks and 8 different puddings. How many combinations are there?
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Question 6 of 23
6. Question
A cafe sells 16 different drinks of 3 different sizes and 11 different flavoured brownies. How many combinations are there?
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Question 7 of 23
7. Question
A 3-digit code has the numbers 0-9. The first number is a cube number, the second number a multiple of 2 and the last number is odd. How many combinations are there?
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Question 8 of 23
8. Question
A 5-digit code has the digits 0-5. The first number is odd, the second number is even, the third number is odd and the fourth and fifth numbers are even. How many combinations are there?
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Question 9 of 23
9. Question
A milkshake bar sells 26 different flavours with 3 types of cream and 8 different coloured cups. How many combinations are there?
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Question 10 of 23
10. Question
A canteen sells 14 different sandwiches, 8 packets of crisps and 6 flavoured milks. How many combinations are there?
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Question 11 of 23
11. Question
A 5-digit code has the numbers 1-9. The first and second digits are square numbers, the third and fourth digits are multiples of 3 and the last digit is odd. How many combinations are there?
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Question 12 of 23
12. Question
A shop sells 8 different flavoured sandwiches with 4 different types of bread and 13 different cold drinks. How many combinations are there?
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Question 13 of 23
13. Question
A 3-digit code has the digits 0-8. The first digit is a prime number, the second digit is odd and the last digit is a cube number. How many combinations are there?
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Question 14 of 23
14. Question
A shop sells 21 different milkshakes of 4 different sizes and 5 different sprinkle colours. How many combinations are there?
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Question 15 of 23
15. Question
A canteen sells 12 drink options, 4 types of pasta and 8 cookies. How many combinations are there?
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Question 16 of 23
16. Question
A 4-digit code has the digits 1-9. The first digit is a multiple of 3, the second digit is even, the third digit is odd and the last digit is a prime number. How many combinations are there?
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Question 17 of 23
17. Question
A canteen sells 9 different meals, 3 pieces of fruit and 12 drink options. How many combinations are there?
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Question 18 of 23
18. Question
A 4-digit code has the digits 0-8. The first digit is a prime number, the second digit is odd and the third digit is a multiple of 5. How many combinations are there?
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Question 19 of 23
19. Question
A 4-digit code has the digits 1-7. The first number is odd, the second number is even and the last number is a square number. How many combinations are there?
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Question 20 of 23
20. Question
A shop sells 6 flavoured sandwiches, 7 pieces of fruit and 19 drinks. How many combinations are there?
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Question 21 of 23
21. Question
A coffee shop sells 19 different drinks of 3 different sizes and 9 different cakes. How many combinations are there?
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Question 22 of 23
22. Question
A shop sells 12 different flavoured sandwiches, 7 different packets of crisps and 6 different cold drinks. How many combinations are there?
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Question 23 of 23
23. Question
A cafe sells 13 different flavoured hot chocolates of 5 different sizes and 9 different biscuits. How many combinations are there?
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