7. How many ways are there that in a class of 60 students, 2 students will not have the same birth date?

Q: In the 31st SEA Games volleyball match, how many ways can a coach choose 6 starters from a…

A: From given information, n is 15 and r is 6.

Q: In how many ways can a  friend visit his 3  friends  if he must visit all of them in a single day

A: Since, you have asked multiple question, we will solve the first question for you. If you want any…

Q: In how many ways can a commitee of 9 students be chosen from 8 juniors and 10 seniors if there must…

A: Given data: 8 juniors and 10 seniors

Q: How many ways can president, vice president, secretary, and treasurer be determined in a club with…

A: 13 members are there.   How many ways can president, vice president, secretary, and treasurer be…

Q: 1. In how many ways can the 10 candidates in the Ms. Universe win the Ms. Universe title, First…

A:

Q: In how many ways can three awards be given to seven students under the following conditions :  If…

A: If student can receive more than one award. There are three rewards. Each reward can be assigned to…

Q: In how many ways can a team of 11 players be chosen from 14 players if the captain and his assistant…

A: This is problem of counting and we will solve this using combination.

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

A:

Q: In how many ways can a committee of four Democrats and five Republicans be formed from a group of…

A: The objective of this question is to find out the number of ways a committee can be formed from a…

Q: how many ways can a party of 8 people be seated in a circular table if 3 of them insist on sitting s

A: Given data,In a party there are 8 peoplen=8how many ways can a party of 8 people be seated in a…

Q: In how many ways can 5 persons be seated in a room where there are 10 seats?

A: We have to find number of ways to seat people in room.

Q: 3. In how many ways can you arrange 5 books on a shelf from available 10?

A: The number of all combination of n things, taken r at  time is given by:

Q: Three cards are chosen without replacement from a deck of 52 cards and placed in order from first to…

A: In the deck of 52 cards, there are total 4 6's. (One for each of hearts, diamonds, spades and clubs)…

Q: In how many ways can a teacher distribute 10 distinct books to 10 students (each student is to…

A: To distribute 10 distinct books to 10 students initially (one book per student), you have 10 choices…

Q: If 3 representatives from Company A, 4 representatives from Company and 2 lawyers (from a different…

A: Given data , 3 representatives from Company A , 4 representatives from Company B , 2 lawyers from (…

Q: In how many ways can a committee of not more than 3 representatives be selected from a group of 16…

A:

Q: In how many different way can a person choose 2 desserts from a menu of 12

A:

Q: In how many ways can four English books, three statistics books, three chemistry books and two…

A: Number of English books = 4 Number of statistics book = 3 Number of chemistry book = 3 Number of…

Q: In how many different ways can we arrange 10 experimental hamsters in 10 laboratory cages if 4…

A:

Q: How many ways can a committee of 6 be selected from a club with 10 members?

A: The formula to calculate the number of ways to select b peoples from a total of a peoples is given…

Q: In how many ways can a committee of five Democrats and six Republicans be formed from a group of…

A: The objective of this question is to find the number of ways a committee can be formed from a group…

Q: If 10 people come from different places and shake hands in how many different way could this be done

A: The formula for the number of handshakes possible with n people is          handshakes = n*(n -…

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: In how many ways can first and second prize be awarded in contest with 100 people, assuming that…

A: There are 100 students in the contest.

Q: In how many ways can a bag of three identical balls and four identical coins be formed from a group…

A: Given: Total number balls =12 Total number coins =12

Q: How many ways 5 students be seated in a row of 5 chairs for a pictorial?

A: Given students=5 chairs= 5

Q: 3 A recent survey concluded that of the teachers in a certain school district had at least 10 years…

A:

Q: How many ways are there to arrange 6 different unique chairs (i.e., each chair is different from any…

A: Explanation of the answer is as follows

Q: 5. How many ways can 12 groceries be distributed among 4 grocery bags if (a) The groceries items are…

A: 12 groceries be distributed among 4 grocery bags.

Q: There are 15 persons in a party and if each 2 of them shakes hands with each other, how many ways…

A: Given data: 15 persons in a party Each 2 of them shakes hands with each other

Q: In how many ways can three dogs, four cats, four rabbits and two pigs be arranged in a row so that…

A: Given,no.of dogs=3no.of cats=4no.of rabbits=4no.of pigs=2

Q: In how many different ways can we select a committee of four members from 13 applicants?

A:

Q: In how many ways can 7 male students be arranged in a row if Hanz and Fitch insist next to each…

A:

Q: 10) If a man can select one of 4 shirts, one of 3 pairs of trousers and one of 2 pairs of shoes, how…

A: