Question 1 Write the repeating decimal number 3,142 as an improper fraction. Question 2 2.1 A father is four times as old as his daughter. In 6 years he will be three times as old as she is then. How old is the daughter now? (6)
Permutations and Combinations
If there are 5 dishes, they can be relished in any order at a time. In permutation, it should be in a particular order. In combination, the order does not matter. Take 3 letters a, b, and c. The possible ways of pairing any two letters are ab, bc, ac, ba, cb and ca. It is in a particular order. So, this can be called the permutation of a, b, and c. But if the order does not matter then ab is the same as ba. Similarly, bc is the same as cb and ac is the same as ca. Here the list has ab, bc, and ac alone. This can be called the combination of a, b, and c.
Counting Theory
The fundamental counting principle is a rule that is used to count the total number of possible outcomes in a given situation.
![Question 1
Write the repeating decimal number 3,142 as an improper fraction.
[5]
Question 2
2.1 A father is four times as old as his daughter. In 6 years he will be three times as old as she is
then. How old is the daughter now?
(6)
2.2 The distance between two towns A and B, is 90 km. John cycles from A to B whereas Harry
cycles from B to A. They start cycling towards each other at the same time. John cycles twice
as fast as Harry does. If they meet 2 hours later, at what average speed is each cyclist traveling?
(8)
3.3 The area covered by water weed on a dam increases exponentially according to the formula
A = Agekt,
where A is the area, in square meters, covered by weed after t days. The initial area Ao of water
weed is 200m². After 10 days the area is 300m2.
(a) Determine the value of k. Leave your answer in terms of In.
(4)
(b) Use the formula above, and the value of k in terms of In, to determine the area covered by
water weed after 30 days.
(5)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1278f489-7dc1-4cea-9794-fbbeee0b008f%2F0f035f22-df94-4708-bf69-217103d7282e%2Fhjsqtu_processed.png&w=3840&q=75)
Step by step
Solved in 2 steps with 1 images
