Required information NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part. A drawer contains 12 brown socks and 12 black socks, all unmatched. A man takes socks out at random in the dark. Select the least number of socks that he must take out to be sure that he has at least two black socks. Coursology. Multiple Choice O 12 O 3 O 8 O 14Required information NOTE: This is a multipart question. Once an answer is submitted, you wit! be unable to return to this part. A croissant shop has plain croissants, cherry croissants: chocolate croissants, almond croissants, apple croissants, and broccoli croissants, How many ways are there to choose 16 croissants? Numeric Response Required information NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part. Find the value of each of these quantities. P(8, 7) Coursology. Numeric ResponseRequired information NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part. A bowl contains 10 red balls and 10 blue balls. A woman selects balls at random without looking at them. What is the minimum number of balls she must select to be sure of having at least three blue balls? Coursology. Numeric ResponseNOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part. Give a recursive definition of the sequence {an}, n = 1, 2, 3,... if an = m(n+ 1) Coursology. Multiple Choice 21 = 2, an = an- 1 + 2n, n > 2 O 21 = 2, an= an - 1+ (2n + 1), n=1 an= 2, an= an-1+ 2n, n>1 O an= an- 1+ 2n, n> 1