Search
Use matrix method to solve d^2x/dx^2+4x+2=0, x(0)=1 , x(0))=0
Suppose that the mean number of students who call me during by
sleepy hours ( 2pm-3pm) is 5.
What is the probability that in a given hour, exactly two students will call?
And what is the probability that more than two will call in the given hour?
In how many ways can 10 people be seated in a row so that a certain pair of
them are not next to each other?
Three persons enter into car, where there are 5 seats. In how many ways can
they take up their seats?
How many numbers can be formed using the digits 1, 3, 4, 5, 6, 8 and 9 if no
repetition is allowed?
13) Suppose that we draw a card from a deck of 52 cards and replace it before the
next draw. In how many ways can 10 cards be drawn so that the tenth card is a
repetition of a previous draw?
How many different plates are there that involve 1, 2 or 3 letters followed by 1,
2, 3 or 4 digits?
How many 2 digit or 3-digit numbers can be formed using the digits 1, 3, 4, 5, 6,
8 and 9 if no repetition is allowed?
If 2 distinguishable dice are rolled, in how many ways can they fall? If 5
distinguishable dice are rolled, how many possible outcomes are there? How
many if 100 distinguishable dice are tossed?
The chairs of an auditorium are to be labeled with a letter and a positive integer
not exceeding 100. What is the largest number of chairs that can be labeled
differently?
Each element of a circular conical pile of sand 6ft. high is inclined 45 degrees to the horizontal. How many cubic feet of sand does the pile contain?
Let f : A → B, g : B → C, and h : C → D be functions.
1. State what you need to show to conclude that h ◦ (g ◦ f) = (h ◦ g) ◦ f. 13
2. Consider now some a ∈ A. Calculate h((g ◦ f)(a)) and (h ◦ g)(f(a)). Are they equal?
3. Use your solutions to (1)–(2) to conclude that h ◦ (g ◦ f) = (h ◦ g) ◦ f.
There were approximately 16 billion visitors to Disneyland us 2012. If the theme park is open every day of the year, about how many people would visit per day? round to the nearest hundred
