A) in how many ways can the rooms in a dorm be filled if there are 18 students applying for 4 available rooms (rooms provide similar conditions)? b) in how many ways can 2 students be selected from a group of 12 students for the positions of president, vice-president and a secretary?

Astandard deck of cards contains 52 cards. one card is selected from the deck. (a) compute the probability of randomly selecting a diamond or heart. (type an integer or a decimal rounded to three decimal places as needed.) (b) compute the probability of randomly selecting a diamond or heart or club. (type an integer or a decimal rounded to three decimal places as needed.) (c) compute the probability of randomly selecting queen or club. (type an integer or a decimal rounded to three decimal places as needed.)