| Exam Board | SPS |
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| Module | SPS FM (SPS FM) |
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| Year | 2022 |
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| Session | January |
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| Topic | Combinations & Selection |
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8.
- A group of four different letters is chosen from the alphabet of 26 letters, regardless of order.
- How many different groups can be chosen?
- Find the probability that a randomly chosen group includes the letter P .
- A three-digit number greater than 100 is formed using three different digits from the ten digits \(0,1,2,3,4,5,6,7,8,9\).
- Show that 648 different numbers can be formed.
One of these 648 numbers is chosen at random.
- Find the probability that all three digits in the number are even. (You are reminded that 0 is an even number.)
- Find the probability that the number is even.
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