In how many ways can a president, a vice-president, and a secretary be selected from an organization of 32 members?

Tuan is an artist. He is painting on a large canvas that is 45 inches wide. The height of the canvas is 9 inches less than the width. What is the area of Tuan's canvas?

A combination lock on a briefcase has three dials with the digits from 0 through 9 on each dial. How many different possible combinations are there for this lock?

What is the ones digit in the number $2 2036$

A 15-m-long garden hose has an inner diameter of 2.5 cm. One end is connected to a spigot; $20 ^ { \circ } \mathrm { C }$ water flows from the other end at a rate of 1.2 L/s. What is the gauge pressure at the spigot end of the hose? A. 1900 Pa B. 2700 Pa C. 4200 Pa D. 5800 Pa E. 7300 Pa

A three-digit number is formed using digits from {1, 2, 3, 4, 5}. (a) How many numbers can be formed using three different digits? (b) How many numbers can be formed if digits may be repeated? (c) How many even numbers can be formed using three different digits? (d) How many even numbers can be formed if digits may be repeated? (e) How many multiples of 5 can be formed if digits may be repeated?

(a) Determine the radius of the smallest cation that can have (i) sixfold and (ii) eightfold coordination with the $\mathrm{Cl}^{-}$ ion (radius 181 pm). (b) Determine the radius of the smallest anion that can have (i) sixfold and (ii) eightfold coordination with the $\mathrm{Rb}^{+}$ ion (radius 149 pm).

Find each root that is a real number. $-\sqrt[4]{256}$

Consider this geometric sequence: $3,6,12,24,48, \ldots$ a. What is the common ratio r? b. Call the general term of this sequence $A_{n}$. Suppose that the starting subscript for the sequence is 0. Thus, the initial term is $A_{0}=3$. What is a recursive formula for this sequence? What is a function formula for this sequence? Write both formulas in the form $"A_{n}=\ldots,$") c. Suppose the starting subscript is 1. Thus, $A_{1}=3$. What is a recursive formula for the sequence in this case? What is a function formula? (Write both formulas in the form $"A_{n}=\ldots$." d. Compare the formulas in Parts b and c. Explain similarities and differences.

Find the mean and standard deviation of a normally distributed random variable X, given that P(X $\geqslant$ 80) = 0.1 and $\mathrm{P}(X \leqslant 30)=0.15$.

The outer layer of the blastocyst, which attaches to the uterine wall, is the a. yolk sac. b. inner cell mass. c. amnion. d. trophoblast.

Four couples attend a play and are seated in a row of 8 chairs. How many different arrangements are possible if couples are seated together?

Solve by the method of your choice. How many different four-letter passwords can be formed from the letters A, B, C, D, E, F, and G if no repetition of letters is allowed?

To earn money for gifts, Debbie sold decorated pinecones. If she sold 100 pinecones at $0.25 each, how much money did she earn?