(a) How many different committees of size 4 can be formed from 15 people? (b) To log on to a certain computer account, the user must type in a 5-letter password. In such a password, no letter may be repeated, and only the lower case of a letter may be used. How many such 5-letter passwords are possible? (There are 26 letters in the alphabet.) (

Solve the following inequality. \[ (x-2)(x+3)<0 \] Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The solution set is (Type your answer in interval notation.) B. There is no solution.

Un padre tiene 48 años y su hijo 18; 2dentro de cuantos años el padre tendrá el doble de la edad de su hijo?

Convert the base ten numeral to a numeral in base four. 107

For the function \( f(x)=x^{2}+4 x-12 \) solve the following. \( f(x)=0 \) Select the correct choice below and fill in the answer box within your choice. A. The solution is \( \left\{\begin{array}{l}\text { (Use a comma to separate answers as needed.) } \\ \text { B. The solution is } \square . \\ \text { (Type your answer in interval notation.) }\end{array}\right. \)

Use the properties of logarithms to condense the following expression as much as possible, writing the answer as a single term with a coefficient of 1 . All exponents should be positive. \[ \log (z)-\log (13) \]