To win at LOTTO in one​ state, one must correctly select 7 numbers from a collection of 49 numbers​ (1 through 49​). The order in which the selection is made does not matter. How many different selections are​ possible?

Q: Assume that the student has a cup with 8 writing implements: 4 pencils, 3 ball point pens, and 1…

A: Consider the given statement,Student has a cup with 8 writing implements: 4 pencils, 3 ball point…

Q: To win at LOTTO in one state one must correctly select 6 numbers from a collection of 11 (1 through…

A: The winning combination of LOTTO has 6 numbers.

Q: To win at LOTTO in one​ state, one must correctly select 6 numbers from a collection of 63 numbers​…

A: Here, the order in which the selection is made does not matter.The possible selection is,

Q: HOW MANY WAYS 4 PIZZA TOPPINGS BE SELECTED FROM A CHOICE OF 12 TOPPINGS CAN BE CHOSEN ONLY ONCE?

A:

Q: Suppose we want to choose 5 letters, without replacement, from 8 distinct letters. (a) If the order…

A: ncr=n!r!n-r! and we will use combination

Q: Assume that the student has a cup with 9 writing implements: 5 pencils, 3 ball point pens, and 1…

A: Given data: *There are 9 writing implements out of which 5 are pencils, 3 are ball point pens and 1…

Q: The Managing director of a company wishes to form a committee consisting of 4 members from a pool of…

A: We have to find no of different combinations possible.

Q: A book club offers a choice of 5 novels from a list of 10. How many 5-novel selections can be made…

A: From the provided information, A book club offers a choice of 5 novels from a list of 10.

Q: There are 14 standbys who hope to get a seat on a flight, but only six seats are available on the…

A:

Q: In a club with 20 members, how many ways can a slate of 3 officers consisting of president,…

A: This question is related to permutation and combination. The solution is given below

Q: Suppose that 20 people enter a raffle. In how many ways can four different people among the 20 be…

A: Since the prize amounts are different, so we will have to use the Permutation method.  We can find 4…

Q: to win a lotto in one state, one must correctly select 6 numbers from a collection of 5 numbers (one…

A: In the question, it has to be select 6 numbers from a collection of 55 numbers (one through 55),…

Q: A senate committee has 15 members.  If a subcommittee of 6 senators is to be formed from the…

A:

Q: A musician plans to perform 9 selections. In how many ways can she arrange the musical selections?

A: Given A musician plans to perform 9 selections

Q: There are 24 letters in the Greek alphabet. How many fraternities may be specified by choosing three…

A: There are 24 letters in the Greek alphabet. a). The number of fraternities specified by choosing…

Q: Assume that you have 7 dimes and 5 quarters (all distinct), and you select 4 coins. In how many ways…

A: To count the number of selections  under given conditions

Q: In a contest where 7 contestants are entered, in how many ways can the distinct prizes be awarded

A: Ans- Given,In a contest where 7 contestants are entered, In how many ways can the distinct prizes be…

Q: The supreme choice pizza at Pete's Pizza contains 3 different types of meat and 2 different…

A: It is given that a supreme choice pizza at Pete’s Pizza contains 3 different types of meat and 2…

Q: In a club with 5 male and 9 female members, how many 5-member committees can be chosen that have at…

A: We have to find no. If ways to arrange.

Q: To win at Lotto in a certain state, one must correctly select 6 numbers from a collection of 48…

A: We have to select a group of 6 numbers from 48 numbers.

Q: Assume that four men and four women are to sit in a row of eight chairs. In how many ways can these…

A:

Q: At a raffle promo of 200 people, 5 will be chosen to receive the major prizes. Assuming these prizes…

A: The arrangement of data in an orderly way, they can be represented using two ways. They are…

Q: To win at LOTTO in one​ state, one must correctly select 6 numbers from a collection of 45 numbers​…

A:

Q: 2. In a group of 700 people, must there be 2 who have the same first and last initials? Why?

A:

Q: to win at lotto in one state, one must correctly select 6 numbers from a collection of 63 numbers?

A:

Q: To win at LOTTO in one state, one must correctly select 7 numbers from a collection of 59 numbers (1…

A: From the provided information, Total numbers are from 1 to 59. To win at Lotto in one state one need…

Q: Suppose 58 cars start at a car race. In how many ways can the top 3 cars finish the​ race?

A: We have to find no of  ways can the top 3 cars finish the​ race...

Q: In a Power Ball lottery, 5 numbers between 1 and 12 inclusive are drawn. These are the winning…

A: It is given that, in a Power Ball lottery, 5 numbers between 1 and 12 inclusive are drawn. These are…

Q: 8 members of a wedding party are lining up in a row for a photograph. (1) How many ways are there to…

A: There are 8 members. They have to stand in a line for photograph. To find: a) Number of ways,…

Q: n a club with 10 members, how many ways can a slate of 3 officers consisting of president,…

A: We have given that,  Total number of members in a club = 10 To choose  3 officers consist 1…

Q: Suppose we select 3 students randomly out of a class of 10 students to read a paper from the…

A:

Q: To win at LOTTO in one​ state, one must correctly select 7 numbers from a collection of 45 numbers​…

A: Given, Total collection of numbers = 45 numbers​ and, The order in which the selection is made does…

Q: A teacher had chooses 3 of 22 students to help clean the room after school. In How many ways can the…

A: Given that A teacher had chooses 3 of 22 students to help clean the room after school. To find…

Q: A mother of 8 wanted to attend a party but only 5 children can be fit in her car. In how many ways…

A:

Q: Assume that four men and four women are to sit in a row of eight chairs. In how many ways can these…

A: If all men and all women seat together then we have two ways to divide the seats.  The first 4 seats…

Q: Assume that the student has a cup with 10 writing implements: 5 pencils, 4 ball point pens, and one…

A: Assuming that the student has a cup with 10 writing implements: 5 pencils, 4 ball point pens, and…

Q: 38) To win at LOTTO in a certain state, one must correctly select 6 numbers from a collection of 55…

A: We have to find the number of selections possible.

Q: How many ways can Rudy choose 4 pizza toppings from a menu of 13 toppings if each topping can only…

A:

Q: A club has 20 members. They are to select three office holders-president, secretary, and treasurer-…

A:

Q: How many ways are there in choosing (55+1) face mask  from a box of  (55+3) face masks?

A: From the given information, choosing (55+1=56) face mask  from a box of  (55+3=58) face masks.…

Q: A frozen yogurt store has 12 toppings to choose from. In how many ways can 2 of the 12 toppings be…

A: If we consider order, the number of permutations  12×11=132 but the order should not matter , and…

Q: Four married couples have reserved eight seats in a row at the   theater, starting at an aisle seat.…

A: As given above there are four married couples have reserved eight seats in a row. The arrangement of…

Q: In a contest where 7 contestants are entered, in how many ways can the 5 distinct prizes be awarded…

A: Permutation:   It is nothing but the arrangement of items in a definite order where the order is…

Q: A group of 8 people, including Betty and Bob, are going to take a group photo. In how many ways can…

A: Number of people in group is 8 .

Q: A team is designed for the particular task in a software company. In the selection process, 11 male…

A:

Q: To win at LOTTO in one state, one must correctly select 6 numbers from a collection of 46 numbers (1…

A: topic - permutation and combinations

Q: Natasha and Rodrigo are in a class of 30 students that selects 4 leaders. How many ways are there to…

A: Solution:

Q: . Assume that a class of 16 students is supposed to write an essay. If 3 essays are randomly…

A: There are total 16 student in total who are supposed to write an essay. 16 students write 16 essay.…

Q: Suppose that 10 countries submit bids for the summer Olympics. The Olympic committee will select 4…

A: Given ,  Total no. of countries = 10

Q: Before the election you want to determine the number of possible President/vice-president…

A: We have to write number of combination