David rolls a die and spins the spinner. what is the probability that he gets a 1 on both the die and the spinner? a. 1/5 b. 5/12 c. 1/12 d. 1/24 for the senior-class election, 8 candidates are running for president and 6 for vice-president. use the fundamental counting principle to calculate the total number of class officer combinations available. a. 14 b. 36 c. 48 d. 64 there are 6 television shows coming on this week that gabe wants to watch. they all come on at different times, but his mom will only let him watch 4 shows a week. how many different combinations of shows can gabe choose to watch? a. 15 b. 30 c. 45 d. 60 a standard deck of playing cards has 52 cards: 13 spades, 13 clubs, 13 hearts, and 13 diamonds. what is the probability of drawing a spade from a standard 52-card deck, replacing it, and then drawing another spade? show your work or explain how you got your answer. using the letters in the word fabric, find the number of permutations that can be formed using 2 letters at a time. show your work or explain how you got your answer.