You have 8 pairs of socks of different colours in one of your drawers [a pair has both socks of the same colour]. How many socks do you have to draw out in order to guarantee that you have grabbed at least one pair?

Q: A recent study of 230 people in a small downtown neighborhood found that 66 had medical insurance…

A:

Q: how many ways can five persons line up to get on a bus?

A: The number of persons is 5.

Q: A password for a computer consists of four digits. How many different passwords are possible?

A: Given that a password for a computer consists of four digits. We know that the possible digits are;…

Q: How many different photographs are possible if four children sit in the front row and five adults…

A: The objective of this question is to find out the total number of different photographs possible…

Q: An ice cream store sells 25 flavors of ice cream. Determine the number of possible 7-dip sundaes.…

A:

Q: There are 10 students in a class. In how many ways can an instructor give at most three students a…

A: n = 10 Let x represent the number of students given grade A.   The number of ways a student can be…

Q: In volleyball, players on the same team rotate through all positions so no particular player is…

A: The total number of players are 12. The team formed should be of 6 players. Therefore, 6 players can…

Q: There are 10 students in a class. In how many ways can an instructor give at least one student a…

A: There are 10 students So sample size, n= 10 And we've to find ways for at least 1 student. So r= 1

Q: For this problem, assume that you are to pick 2 cars from the motor pool, which contains 6…

A: From the given information, there are  6 subcompact cars, 6 compact cars and 5 midsize cars.  pick 2…

Q: Suppose you have 11 books and you randomly pick 4 to take on vacation with you. How many ways can…

A:

Q: How many complete ensembles (outfits with one of each item) can Alicia wear if she has four shirts,…

A: Here,to determine the number of complete outfits Alicia can wear, we need to consider the…

Q: An urn contains 6 green balls and 7 red balls. A man selects balls at random without looking at…

A:

Q: In a survey of 426 people, a pet food manufacturer found that 143 owned a dog but not a cat, 59…

A:

Q: You have 10 concert tickets to distribute among 15 friends.  Of the 10 tickets, six have assigned…

A:

Q: If Joe only has room for 2 of his 6 flags on his flagpole, how many different ways can they be…

A:

Q: From a group of 20 nurses, 4 are to be selected to work a night shift. In how many ways can this be…

A:

Q: In a survey of 104 pet owners, 19 said they own a dog, and 52 said they own a cat. 15 said they own…

A: GivenTotal no.of pet owners=104No.of owners own a dog=19No.of owners own a cat=52No.of owners bot a…

Q: in how many ways can the 20 children in a third-grade class be paired up for a trip to the museum?

A: Given that, There are 20 children and we need to make them as pairs.

Q: There are five people at a volleyball tournament. In how many ways can a team of three be chosen?

A: The number of ways r items can be chosen out of n items is equal to C(n,r) . The formula for C(n,r)…

Q: Assume that a grade of A, B, C, D, F, or NC is assigned to each of 10 students. In how many…

A: Given ,Grades are  A, B,C,D,F or NCTotal grades = 6No. of students = 10