In how many ways can first, second, and third prizes be awarded in a contest with 625 contestants? Assume there are no ties. Your answer is :Find the number of distinguishable permutations of me given letters \"AABBCC\". Your answer is : \fIn how many ways can 3 books he chaosen from a group of nine? Your answer is : How many different 3 card hands can be dealt from a deck of 52 cards? Your answer is :A pia parlor offers a choice of 16 different toppings. How many 2topping pizzas are possible? Your answer is : You pick 7 digits (0-9) at random without replacement, and write them in the order picked. What is the probability that you have written the first 7 digits of your phone number? Assume there are no repeats of digits in your phone number. Give your answer as a fraction.From a group of 6 people, you randomly select 3 of them. What is the probability that they are the 3 oldest people in the group? Give your answer as a fractionA company estimates mat 0.7% of their products will fail after the original warranty period but within 2 years of the purchase, with a replacement cost of $250. If they offer a 2 year extended warranty for $37: what is the company's expected value of each warranty sold? w A bag contains 1 gold marbles, 6 silver marbles, and 30 bladr. marbles. Someone offers to play this game: You randomly select one marble from the bag. If it is gold, you win $4. If it is silver, you win $2. If it is black, you lose $1. What is your expected value if you play this game