How many distinct 4 digit decimal number arrangements are possible if the numbers cannot start with 0? How many 5 digit decimal numbers are possible? A committee of 7 people must elect a Chairman, Secretary and Treasurer. In how many ways can this be done? If 2 genes are selected from a unique pool of 14, how many combinations are possible?

Q: There are 91 golfers in today’s golf tournament. How many ways can first, second, and third be…

A: The first can be picked in 91 ways  Second in 90 ways  Third in 89 ways

Q: Two coins are randomly drawn from a coin pouch. If there are 4 dimes, 2 nickels, and a quarter, how…

A: The pouch contains 4 dimes, 2 nickels and one quarter. Two coins are randomly drawn from a pouch.

Q: How many different ways a president and a vice president  can be selected from a group of 1414…

A: Total number of candidates = 1414. No. of candidates to be selected =2. Here, while appointing…

Q: How many distinct arrangements of the letters in the word “footballers” are possible?

A:

Q: Four members from a 14 members committee are to be randomly selected to serve as a Chair, a…

A: The number of members is 14.

Q: Two coins are randomly drawn from a coin pouch. If there are 4 dimes, 2 nickels, and a quarter, how…

A: Two coins are randomly drawn out from  a coin pouch . In a pouch we have given that there are 4…

Q: How many arrangements of 9 little league players are possible if there are 20 kids who wish to play…

A: The objective of this question is to find out the number of possible arrangements of 9 players out…

Q: Suppose there is a club of 15 people. In how many ways can a committee of 3 people be selected?

A: Our objective is to find the number of way

Q: A team composed of two grade 11 and two grade 10 students is to be sent to a debate contest. If…

A: The provided information is  There are Two grade 11 and two grade 10 students  There are also 60…

Q: In how many ways can a class of 32 students select four people to serve on a committee?

A: Total number of students in the class (n) = 32 Number of students to be selected to serve on a…

Q: A license plate consists of 2 letters followed by 4 numbers, and to avoid confusion, the numbers 1…

A: GivenNo.of letters from A-Z =26No.of numbers from 1-0 excluding 1 and 0 = 8

Q: In how many ways can a committee of 5 people be chosen out of 9 people?

A:

Q: In how many different ways can eight people be seated in a row?

A: Different ways that eight people can sit in a row.

Q: In how many ways can 10 engineers be seated in a round table?

A: From the provided information, Total number of engineers = 10

Q: How many 7-member committees could you form from a set of 9 people?

A: There are total 9 people.  We have to select 7 people from them. Since we are forming a committee,…

Q: How many 5 person teams can be formed from a group of 25 people? O 53,130 O 6,375,600 O 125 3000

A: Division into Groups:      To find the number of ways in which 'm' things can be divided into groups…

Q: Four members from a 17-person committee are to be selected randomly to serve as chairperson,…

A: From the provided information, Four members from a 17-person committee are to be selected randomly…

Q: How many 4-digit numbers are there?   And if repetition of digits is not allowed?

A: Given that n= number from 1 to 9 = 9 r = 4 ( since we have to take 4 digit number)

Q: In how many ways can  8 people sit around a round table if two particular people must sit next to…

A: Given  Number  of people =8  We want to find how many ways to 8 people sit around round table if two…

Q: How many ways can a c

A: Given, a committee of 6 members be selected from an organization with 20 members

Q: An election ballot asks voters to select three city commissioners from a group of twelve candidates.…

A: The objective of this question is to find out the number of ways to select three city commissioners…

Q: How many different patchwork quilts, four patches long and three patches wide, can be made from five…

A: Given: Five red and seven blue squares.   To determine: The number of different patchwork quilts…

Q: How many different eleven-member football teams can be formed from a possible 35 players if…

A: Total no. of possible players = 35 No. of players in a team=11

Q: An election ballot asks voters to select three city commissioners from a group of twelve candidates.…

A: The objective of this question is to find out the number of ways to select three city commissioners…

Q: Ten people split up into five groups of two each.  In how many ways can this be done?

A: The number of combinations of r items from a group of n items where the order is not important is…

Q: How many possible ways can the top 5 finishers come in during a race with 24 racers? Each place…

A: This is a permutation problem.   Out of the 24, there will be 5 racers in the top 5.

Q: Jamal is creating a 5 digit passcode using the digits 0 through 9. How many 5 digit passcodes are…

A:

Q: How many ways to choose 4 out of the 10 candidates to be sent to a conference?

A: Combination Rule: The arrangement of r objects from n different objects is given by:

Q: In how many ways can 5 sets of numbers be picked from 50 numbers in a lottery?

A: From the provided information, Total numbers in a lottery = 50 The required number of ways of…

Q: A baseball manager wants to arrange 9 starting players into batting order. How many different…

A: given data  arrange 9 starting players into batting order.

Q: A five letter code is to be made by choosing 5 letters from the first 7 letters of our alphabet (a,…

A: Given : Total no. of letters = 7 This are : a , b , c , d , e , f  , g A five letter code is made…

Q: How many different sets of 5 cards can be formed from a standard deck of 52 cards?

A: We need to find the number of different 5 card sets that can be formed from a deck of 52 cards. Now,…

Q: cards are drawn from a standard deck of 5252 playing cards. How many different 44-card hands are…

A: It is given that,  We have a total standard deck of 52 playing cards. We are drawing 4 cards without…

Q: How many different 4-people committees can be chosen from 8 people?

A: