A box contains 10 light bulbs. Find the number of n of ordered samples of (a) size 5 with replacement, and (b) size 5 without replacement.

Given:

(a) There are 5 houses in 5 different colors.
(b) In each house lives a person with a different nationality.
(c) These 5 people drink a certain drink, smoke a certain cigar and have a particular pet.
(d) None of the people have the same pet, smoke the same cigar nor drink the same drink.

From the following statements, determine who will Keep the Fish

1: The Brit lives in a red house.
2: The Swede keeps dogs as pets.
3: The Dane drinks tea.
4: The green house is on the left of the white house.
5: The green house owner drinks coffee.
6: The person who smokes Pall Mall rears birds.
7: The owner of the yellow house smokes Dunhill.
8: The man living in the house right in the centre drinks milk.
9: The Norwegian lives in the first house.
10: The man who smokes Blend lives next to the one who keeps cats.
11: The man who keeps horses lives next to the man who smokes Dunhill.
12: The owner who smokes Blue Master drinks beer.
13: The German smokes Prince.
14: The Norwegian lives next to the blue house.
15: The man who smokes Blend has a neighbor who drinks water.

How many positive integers can be formed from the digits 1, 2, 3, and 4 if no digit is repeated in any one integer?

Which of the following biological groups has the fewest members:

(1) Species

(2) Genus

(3) Family

(4) Class

What structures carry the most genetic information for a leaf cell:

(1) chromosomes

(2) ribosomes

(3) centrioles

(4)  chloroplasts

More resources

BOTW Plants
Berkeley - Plant Photos

A karyotype would be least useful in determining whether a person had:

(1) a missing 23rd chromosome

(2) more than one X chromosome

(3) a recessive gene on the Y chromosome

(4) an extra copy of chromosome 21

A recent survey of 80 auto owners indicated that 24 owned SUVs and 62 owned cars which are not SUVs.  Find the number of q people who owned both an SUV and some other car.

Additional resources:

BOTW Number Theory
Stanford - Set Theory
Chaos, Fractals, and Arcadia

How would a NOT gate process each of the following:

(1) 110001

(2) 10010111

(3) 1000111010

Let x be "it is cold" and let y be "it is snowing".  Describe each of the following:

(1) ~x

(2) x ^ y

(3) ~x ^ ~y

(4) ~(~y)

Find the number of n ways that a company consisting of 30 members can elect a president, vice-president, and secretary (assuming that no one person can be elected to more than one position).

Two balls lie on next to each other on a shelf.  If one ball has a radius of 8 inches and the point of contact is 10 inches above the shelf, what is the radius of the second ball?

Let R be the relation on A = {4,5,6,7}defined by "x is less than y", that is, R is the relation < .  Write R as a set of ordered pairs.

Find the derivative for the following:

f(x) = 3x6 + 5x - 4

You have a large glass jar filled with Jelly Belly jelly beans. Some are green, some are yellow, some pink, some blue, and some are orange. With your eyes closed, pick out 2 of a like color. How many do you have to grab to be sure you have 2 of the same?

How much energy is required (in Joules) when the temperature of 3.6 grams of liquid water increases by 4 °C ?

More chemistry:

Yahoo Chemistry
BOTW Chemistry
DMOZ Chemistry

If the absolute temperature of a blackbody is increased by a factor of three, the energy radiated per second, per unit area:

(1) decreases by a factor of 9

(2) increrases by a factor of 9

(3) increases by a factor of 27

(4) decreases by a factor of 81

(5) increases by a factor of 81

Set fractal provided by "Chaos Theory and Fractals" by Jonathan Mendelson and Elana Blumenthal

Given:

V = { M,W,F}
W = {S,SU}
X = {M,T,W,TH,F}
Y = {W,TH,F,S}

Find:

(V \ W)^c

Two idenical speakers driven by the same signal produce 680 Hz soundwaves.  The speakers are different distances away from you.  What must be the difference in distances to result in destructive interference?

(1) 0.85 m

(2) 1.3 m

(3) .30 m

(4) .25 m