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Questions and Answers
Which one of the following statements is true about the ordered triplets (a, b, c) that satisfy the equation $a + b + c = 10$?
Which one of the following statements is true about the ordered triplets (a, b, c) that satisfy the equation $a + b + c = 10$?
- There are infinitely many ordered triplets.
- There is only one ordered triplet.
- There are exactly three ordered triplets. (correct)
- There are no ordered triplets.
How many ordered triplets (a, b, c) satisfy the equation $a + b + c = 10$?
How many ordered triplets (a, b, c) satisfy the equation $a + b + c = 10$?
- 20
- 10
- 45
- 66 (correct)
If a, b, and c are positive integers, what is the maximum value of a if the ordered triplet (a, b, c) satisfies the equation $a + b + c = 10$?
If a, b, and c are positive integers, what is the maximum value of a if the ordered triplet (a, b, c) satisfies the equation $a + b + c = 10$?
- 6
- 5 (correct)
- 3
- 4
Which one of the following statements is true about combinations?
Which one of the following statements is true about combinations?
What is the formula for calculating the number of k-combinations from a set with n elements?
What is the formula for calculating the number of k-combinations from a set with n elements?
Which of the following is true about the number of k-combinations when k is greater than n?
Which of the following is true about the number of k-combinations when k is greater than n?
If a set has 10 elements, how many 3-combinations can be drawn from this set?
If a set has 10 elements, how many 3-combinations can be drawn from this set?
If a set has 5 elements, how many 5-combinations can be drawn from this set?
If a set has 5 elements, how many 5-combinations can be drawn from this set?
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