How many ways can 6 different contracts be distributed amongst 9 different​ firms, if any one firm can be awarded multiple​ contracts?

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

A:

Q: How many ways can the top four cash prices be awarded in a lottery that sold 150 tickets if each…

A: here given scenario is with replacement ,

Q: In how many ways can 12 students be partitioned into 3 teams so that each team has 4 members.

A:

Q: How many ways can you choose 3 distinct groups of 3 students from total 9 students?

A:

Q: In how many ways can you distribute n pennies to k children if each child is supposed to get at…

A:

Q: A focus group of 3 students from this class is going to be randomly chosen. In how many ways can the…

A: Students to be chosen = 3 Total number of students in the class  = (6+4+3+1+1+5+8+3+1+1) = 33

Q: How many different ways can a club of 20 members select a 3-member officer-nominating committee from…

A: Given Information:  Total members = 20  Number of members to be selected = 3

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: Three adults and five children are seated randomly in a row. In how many ways can this be done if…

A: Option(1) is correct

Q: In how many ways can 12 different books be distributed among four chil- dren so that (a) each child…

A:

Q: How many ways can we select four door prizes from nine different ones and distribute them among four…

A: Given, Out of 8 different prizes, 4 has been selected.

Q: 4. From 4 red, 5 green and 6 yellow apples, how many selections of 9 apples are possible if 3 of…

A: Given Information: There are 4 Red, 5 Green and 6 Yellow apples. Required: How many selections of 9…

Q: In an enormous car park with 10 levels there are 38 free spots. In how many different ways can the…

A: GivenNo.of free spots (n)=38no.of var park levels(r)=10

Q: How many ways are there to distribute 27 identical jelly beans among three children: a) Without…

A: Given: N=27 total number of jellys r= 3

Q: 60 people are at a banquet, 3 participants are selected to win door prizes. If the first person…

A: Multiplication rule of counting: If a task consists of a sequence of choices in which there are ‘a’…

Q: . In how many arrangements can 7 women and 7 men be placed in a line if all the women line up first?…

A:

Q: In how many ways can 25 identical doughnuts can be distributed to 4 police officers so that each…

A:

Q: Suppose 7 female and 6 male applicants have been successfully screened for 5 positions. In how many…

A: Suppose 7 female and 6 male applicants have been successfully screened for 5 positions.  Hence, In…

Q: How

A:

Q: Suppose that 9 horses run a race. How many first-, second-, and third-place finishes are possible?

A:

Q: How many ways are there to distribute eight different toys among four children if the first child…

A:

Q: in how many ways can 6 marbles be distributed among 3 boxes7

A:

Q: Four red, four green and four blue balls numbered 1,2,3,41,2,3,4 are placed in a bag and three balls…

A: As given that there are Four red, four green and four blue balls numbered 1,2,3,4. Three balls are…

Q: In how many ways can 25 identical donuts be distributedto four police officers so that each officer…

A:

Q: In how many different ways can 6 identical lands be distributed among two distinct people if each…

A: If each person receives at least three lands each. Total number of identical lands is: 6 Number of…

Q: In a tournament, 21 tennis players compete. 1 gold, 1 silver and 3 bronze medals are awarded at the…

A: Here in the problem 21 tennis players compete . There are 1 gold,1 silver and 3 bronze medals to be…

Q: There are 32 different cards in a deck for playing Twenty-Nine. The cards are distributed equally…

A: As 32 cards are distributed equally among four players, the numbers of cards on each player is…

Q: only 10th , 11th and 12th grade students attend a high school the ratio of 10th graders to the…

A: Given information:The ratio of 10th graders to the school’s total population is 86:255.The ratio of…

Q: 40 yellow balls and 40 blue balls are in a single bag. If 5 random balls would be selected,…

A: Given data: 40 yellow balls and 40 blue balls are in a single bag. If 5 random balls would be…

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: How many 6-member committees with at least 4 men, can be selected at random from a group of 6 men…

A:

Q: How many student ID numbers can be made by 4 random digits (zero cannot come first) followed by the…

A: WITH REPLACEMENT There are in total 10 digits starting from 0 to 9. So, the first place in a student…

Q: How many combinations are there of 26 letters taken items taken 2 at a time ?

A: The number of combinations  = nCr n : number of options available r : number of options to be…

Q: How many ways are there to select 3 candidates from 8 equally qualified recent graduates for…

A: Given that, there are 8 equally qualified recent graduates for openings in an accounting firm. i.e,…

Q: How many ways to distribute 10 pencils (indistinguishable), 15 erasers (distinguishable), and 20…

A: From the given information, Total number of person =10 Number identical pencils =10 Total number of…

Q: A committee of 5 people will be selected at random from a group of 12 men and 15 women. How many…

A: we have to find no. Of ways..

Q: There are 10 defective light bulbs in a bin containing 25 light bulbs. In how many ways can you…

A:

Q: How many possible ways are there to arrange the order of appearance for 15 contestants in a local…

A: We can answer the question as below to find the possible ways

Q: How many ways can 7 different contracts be distributed amongst 11 different​ firms, if any one firm…

A: According to the fundamental principle of counting, if one thing can be done in m ways and another…

Q: In How Many Ways Can 7 Toys Be Divided Among 3 Children If The Youngest Gets 3 Toys And Each Of The…

A:

Q: Suppose an investor has a choice of 7 businesses in which to put his investments. He decides to rank…

A:

Q: How many committees of five with a given chairperson can be selected from 12 persons?

A: See solution below

Q: How many ways are there to distribute 6 different books among 13 children if no child gets more than…

A: Given: 6 different  are to be distributed among 13 children so that no child gets more than 1 book

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

A:

Q: 2) The Math Club consists of 15 members. Four of them will represent the school in a math…

A: Given Total number of members of Math Club is = 15

Q: How many ways are there to select 12 countries in the United Nations to serve on a council if 2 are…

A:

Q: In how many ways can 6 marbles be distributed among 3 boxes?

A: According to the provided information, we need to distribute 6 marbles among 3 boxes.

Q: How many ways are there to select 5 cookies from a jar containing 3 types when repetition is…

A: Theorem-  there are C(n+r-1 , r) ways of choosing r-combination from a set of n elements when…

Q: Three adults and five children are seated randomly in a row, then how many ways can this be done?

A: