Suppose we want to choose 4 objects, without replacement, from 18 distinct objects. (If necessary, consult a list of formulas.) (a) How many ways can this be done, if the order of the choices is taken into consideration? (b) How many ways can this be done, if the order of the choices is not taken into consideration?\fA number cube with faces labeled from I to o will be rolled once. The number rolled will be recorded as the outcome. Give the sample space describing all possible outcomes. Then give all of the outcomes for the event of rolling a number from 2 to 4. If there is more than one element in the set, separate them with commas. Sample space: Event of rolling a number from 2 to 4 :A box has four cards numbered 1, 2, 5, and 4 David will toss a coin once and record the toss as heads (1/) or tails ( ) Then he will randomly pick a card from the box and record the number chosen. Give the sample space describing all possible outcomes. Then give all of the outcomes for the event that the number chosen is 2. Use the format // 1 to mean that the coin toss is heads and the number chosen is If there is more than one element in the set, separate them with commas. Sample space: Event that the number chosen is 2: XHere is a table showing all 52 cards in a standard deck. Face cards Color suit Ace Two Three Four Five Six Seven Eight Nine Ten Jack Queen King Red Hearts 109 Red Diamonds 10 Black Spades 94 10 Black Clubs |4 2 3 46 54 64 74 84 98 104 38 04 K8 Suppose one card is drawn at random from a standard deck. Answer each part. Write your answers as fractions. (a) What is the probability that the card drawn is a two? X ? (b) What is the probability that the card drawn is a club? (c) What is the probability that the card drawn is a two or a dub