fundamental counting principle

A stock can go up, go down, or stay unchanged. How many possibilities are there if you own five stocks?

(a)  

In how many ways can you choose a four digit PIN number for your debit card?

(a)  

A menu has 6 different sandwiches, with 3 choices of potato chips, 3 types of salad and 5 different beverages. How many different lunch combinations consisting of a sandwich, chips and beverage can be ordered?

Find the number of possible outcomes.

When the spacebar is pressed, a computer program outputs a random even number greater than 2 and less than 12. You press the button once.

DNA molecules include the base units adenine, thymine, cytosine, and guanine (A, T, C, and G). The sequence of base units along a strand of DNA encodes genetic information. In how many different sequences can A, T, C, and G be arranged along a short strand of DNA that has only 6 base units?

Find the number of possible outcomes in the sample space.

You flip a coin five times and then roll a six-sided die.

John has 10 shirts and 3 pairs of pants. How many outfits does he have to choose from, if each outfit consists of one shirt and one pair of pants?

From a standard deck of cards, how many ways can you pick an ace, a heart, and then a spade?

Provided you put the cards back into the deck.