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Question:
(a) Suppose that a cookie shop has four different kinds of cookies. Assuming that only the type of cookie, and not the individual cookies or the order in which they are chosen, matters, how many different ways can six cookies be chosen?
(b) How many ways are there to assign three jobs to five employees if each employee can be given more than one job?
(c) Suppose that a large family has 14 children, including two sets of identical triplets, three sets of identical twins, and two individual children. How many ways are there to seat these children in a row of chairs if the identical triplets or twins cannot be distinguished from one another?
Indefinite Integrals : In the past two chapters we've been given a function, f ( x ) , and asking what the derivative of this function was. Beginning with this section we are now
simple shapes
x=±4, if -2 = y =0 x=±2, if -2 = y = 0
Children Have Their Own Strategies For Learning Vibhor, aged 7, was once asked if he knew what 'seven lots of eight' are. He said he didn't. He was then asked, "Can you work it
Suppose we are required to find the difference between 3abc and 7abc. We look at two scenarios. The value we would obtain by subtracting a larger quantity from th
How we Solve Polynomial Equations Using Factoring ? A polynomial equation is an equation that has polynomials on both sides. Polynomial equations can often be solved by putti
17-12
Q. Show Trigonometric Functions on a Graph? Ans. By discussing the trig functions with respect to an angle in a right-angle triangle, we have only considered angles betwee
Example: Suppose your football team has 10 returning athletes and 4 new members. How many ways can the coach choose one old player and one new one? Solution: There are 10 wa
In the adjoining figure a dart is thrown at the dart board and lands in the interior of the circle. What is the probability that the dart will land in the shaded region. A
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