Chapter 9 & 10.1 Review (4 function calc)

9.1

100

This is used when order matters.

What is permutation?

200

The simplified version of this: ₁₀C₇

What is 120?

300

This many distinguishable 11-letter "words" can be formed using the letters in CHATTANOOGA.

1,663,200

11!/(2!3!2!)

400

In the game of Yahtzee, five dice are tossed simultaneously. If the dice are each a different color, this many outcomes are possible.

What is 6⁵, or 7776?

500

This many different 13-card hands include the ace and king of spades.

What is ₂C₂*₅₀C₁₁?

37,353,738,800

9.2

100

This is the expansion of (x+y)².

What is x² + 2xy + y²

200

list the coefficients of the terms in the expression (x+y)^4 when it is expanded out

1 4 6 4 1

300

This is the expansion of (2y - 3x)⁵.

What is 32y⁵ - 240y⁴x + 720y³x² - 1080y²x³ + 810yx⁴ - 243x⁵?

400

This is the simplified form of: (x + y)³ +  (x - y)³.

What is 2x³ + 6xy²?

500

This is the coefficient (in simplified C form) with x⁹ of 

(2x - y)²⁰.

What is 

-(₂₀C₁₁)512x⁹y¹¹?

9.3

100

This is a sequence where each term is dependent on the previous.

What is a recursive sequence?

200

The sequence converges to this limit:

1, 1/4, 1/9, 1/16,...

What is 0?

300

The arithmetic sequence has this for an explicit rule for the nth term:

-4, 1, 6, 11,...

What is a_n = 5n - 9?

400

The geometric sequence has this explicit rule for the nth term:

-2, 2, -2, 2, -2, 2,...

What is a_n = 2(-1)ⁿ?

500

The second and eighth terms of a geometric sequence are 3 and 192, respectively. This is an explicit rule for the nth term.

What is a_n = 3(+/-2)^n-2?

Equivalent forms: 

a_n = 3/2(+/-2)^n-1 

a_n = 3/4(+/-2)ⁿ

9.4

100

This is the equation for the sum of infinite geometric sequences. 

What is S_n = a/(1-r)?

200

This is the sum of the arithmetic sequence:

111, 108, 105, ..., 27.

What is 2001?

300

This is the sum of the geometric sequence:

3, 6, 12, ..., 12288.

What is 24,573?

400

The sum using sigma notation.

4 - 8 + 16 - 32 + ... - 2048.

What is k = 1, 10 sigma (-2)^k+1?

500

The series in summation notation and the sum assuming the suggested pattern continues.

-5 + 2 + 9 + 16 + ... + 177

What is n = 1, 27 sigma (-12 + 7n) = 2322?

10.1

100

How many different ways can you arrange four people in a line

24

200

A committee is to be made up of 4 positions (P, VP, S, T) from a pool of 20 members. The probability that a certain person is the president.

What is 5%?

Equivalent answers: .05 or 1/20

300

This many license plates are possible with 3 letters followed by 3 digits, where digits may not be repeated.

What is 12654720?

Equivalent answer: 26³*10*9*8

400

Suppose a student applying for a job has a 70% chance of being hired and knows that a wage over $14/hour will only be offered to 40% of hired employees. The chance that the student will be hired and offered a job over $14/hour.

What is 28%?

500

M&Ms in a pack follow the following:

Color:         Brown     Red     Green     Blue    Yellow

Proportion:    0.2        0.3       0.3        0.1       0.1

The probability of picking a red and green from two freshly opened packs.

What is 18%?