Exam Maths Puzzle Permutation and Combination

Q1. A teacher wants to write an ordered 5-question test from a pool of 8-questions. How many different forms forms of the test can the teacher write?

Q2. How many 5-number license plates can be made using the digits 1, 2, 3, 4, 5, 6, 7 if an odd digit must come first and repetitions are allowed? not allowed?

Q3. Suppose in Exercise 2 the license number must be odd. How would it be solved?

Q4. How would the number of pernutations of the letters of these words be found?
1. DEED
2. COMMITTE
3. CINCINNATI
4. SATELLITE
6. MASSACHUSETTS

Q5. A player in a word game has the letters E, E, B, D, G, G , G. In how many ways can these letters be arranged?
A. 210
B. 1260
C. 840
D. 420

Q6. What is the number of permutations of six numbers on a spinner?

In how many ways can the 10 awimmers on an aquatic ballet team be arranged in a cirurlar pattern?

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Exam Other Question

A liquid plant fertilizer is sold as a 30% solution and an 80% solution. How much of each solution should be mixed together to form 500 milliliters of a 40% liquid fertilizer solu A rhombus with a 24 cm diagonal has an area of 120 cm^2. Find the length of a side of the rhombus