Â Â Â Â I-Multiplication Rules 1. How many different slats can be made. If the splint is composed of...

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Â Â Â Â I-Multiplication Rules
1. How many differentslats can be made. If the splint is composed of 4 letters and 3digits.
2. How many specialshuttle crews can be formed if: for pilot position, co-pilot andflight engineer there are (8) eight candidates, for two scientistsone for solar experiment and one for stellar experiment there are(6) candidates and for two Civilians there are (9) candidates.
II-permutations andcombinations
1. In a raffle wherethere are 10 possible numbers in each ball, if three pellets areextracted. How many ways is it possible to combine extractednumbers?
2. Ten people reach arow at the same time. How many ways can they be formed?
3. In a Olympiad thereare 10 swimmers in a race, how many ways can arrive the first threeplaces?
4. How many committeesof three teachers can be made if there are 6 teachers to choosefrom?

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Solution Backup Theory If an Activity 1 can be done in n ways another Activity 2 can be done in m ways and for every one way of doing Activity 1 there are m ways of doing Activity 2 then Activity 1 and Activity 2 can be simultaneously done in n x m ways This is the Rule of Multiplication applicable to both Permutations and Combinations 1 Number of ways of arranging n distinct things See Answer

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