The KOT club has seven pledges. They will send at least 2 and no more than 6 pledges to work at Goodwill on Helping-Out Day. In how many ways can this be done?

An executive hires 3 office workers from 6 applicants. (a) In how many ways can the selection be made? (b) In how many ways can the selection be made if one worker is to be a receptionist, one a secretary, and one a technical typist?

The keypad to the lock to the computer lab has 5 buttons. An access code is a sequence of 3 buttons or 4 buttons. Find the number of access codes: (a) If a button may be repeated. (b) If a button may not be repeated.

Use technology to graph on the same set of axes: a. y = sin x and y = sin x + 3 b. y = sin x and y = sin x - 2

Three children go to the ice cream store that serves 31 flavors. In how many different ways can the children be served one dip of ice cream each if (a) Each child receives a different flavor? (b) The same flavor can be served to more than one child?

What happens to the Doppler effect in air (i.e., the shift in frequency of a sound wave) as the temperature increases? (a) It is greater at higher temperatures, but only in the case of a moving source and a stationary observer. (b) It is greater at higher temperatures, but only in the case of a moving observer and a stationary source. (c) It is greater at higher temperatures than at lower temperatures. (d) It is less at higher temperatures than at lower temperatures. (e) The Doppler effect does not change as the temperature increases.

A charge q of 10.0 C is placed somewhere in space. What is the work required to bring a charge of 1.0 mC from a point X, 10.0 m from q, to a point Y, 2.0 m from q? Does the answer depend on which path the charge follows?

In 2003, the New York Yankees and the New York Mets had the highest payrolls in Major League Baseball. The Mets' payroll, was $32,8 million less than the Yankees' payroll, and the two payrolls totaled$266.6 million. What was the payroll for each team?

Simplify each expression.

$$\left( \frac { 8 } { 27 } \right) ^ { \frac { 2 } { 3 } }$$

The total number of upward-pointing triangles in each of the first four grids is written below the grid. How many such triangles are in each of the fifth and sixth grids? The total number of upward-pointing triangles in each of the first four grids is written below the grid. How many such triangles are in each of the fifth and sixth grids?

Differentiate the given function. $y=x^{2}\left(x^{3}-6 x+7\right)$ [Hint: Multiply first.]

A student did not study for a test, so he has no idea of the correct answers to 10 true/false questions. He decides to answer 5 true and 5 false. How many sequences of 5 true and 5 false answers are possible?

How many different “words” are possible using all the letters of POPPER?

A club has 25 members and 12 pledges. A president, vice-president, and secretary are selected from the members, and a pledge chairman and pledge vice-chairman are selected from the pledges. In how many ways can these five officers be selected