a) How many ways are there to do this?

Q: 1. (i) How many ways can one arrange the letters of the word DECEMBER? (ii) How many of the…

A: Shown below

Q: How many ways are there for eight men and five women to stand in a line so that no two women stand…

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Q: the same nationality are

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Q: Which situation has a greater number of possibilities, one in which order matters or one in which…

A: When the order in which the elements are arranged matters, then Permutation is used. When the…

Q: How many ways can 6 ladies be seated in a circular table such that 2 of the ladies must always sit…

A: To find: The number of ways to arrange 6 ladies in a circular table such that 2 of the ladies must…

Q: A clothing store has a certain shirt in four sizes: small, medium, large, and extra-large. If it has…

A: Given: The number of small-sized shirts is 3. The number of medium-sized shirts is 4. The number of…

Q: How many ways are there to choose 3 applicants from 8 job-seekers for high-paying positions in an…

A: Given information- We have given that in an engineering company 3 positions are there and 8…

Q: 15. How many different arrangements of ten cars in order are possible in a parking lot that is made…

A: Given that  There are 10 cars. n=10 There are 8 parking rows. Each row contains 15 spots. r=8 The…

Q: In how many ways can 5 men and 5 women be seated at a round table if each woman is to be  between…

A: We have round table and 5 men and 5 women be seated at round table if each women is to be between…

Q: A carton of 12 rechargeable batteries contain one that is defective. In how many ways can the…

A: Given,no.of defective batteries=1no.of non defective batteries=11Total no.of batteries=12

Q: You want to arrange the letters of the word ”MISSISSIPPI” such that all the ’I’s come together. How…

A: MISSISSIPPI

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: how many ways can four doctors and three nurses be seated in a row if the doctors and nurses are to…

A: Given that :  D represent doctors .  N represents nurses.  Arrangement in which Doctors and Nurses…

Q: A student wishes to schedule mathematics, English, statistics, and science. These classes are…

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Q: A legislative committee consists of 8 Democrats and 10 Republicans. A delegation of 4 is to be…

A: Solutions

Q: How many ways can a baseball line up of 9 players be arrange to hit if the pitcher must bat last,…

A: We have 4 contact hitters and 2 power hitters and 1 pitcher and 2 other players. Who must be…

Q: B) In an exam, students must answer 9 questions out of a total of 12 and must include exactly 5 of…

A: Given Data: number of question=12 Total number of answer: 9

Q: In how many ways can 6 boys and 7 girls sit in a row if the girls and boys must alternate?

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Q: 8. How many ways are there for four men and seven women to stand in a line so that (a) All men stand…

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Q: Be Precise An arts academy requires there to be 3 teachers for every 75 students and 6 tutors for…

A: To determine the number of tutors required for 120 students of the academy, first we have to…

Q: (3) In how many ways can 5 boys and 2 girls sit in a row if just the girls are to sit together?

A: Permutation is a method in mathematics that is used to find the number of ways in which certain…

Q: Suppose we want to choose 2 objects, without replacement, from the 3 objects pencil, eraser, and…

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Q: Suppose we want to choose 6 objects, without replacement, from 10 distinct objects. (If necessary,…

A: The objective of this question is to find out the number of ways to choose 6 objects from 10…

Q: In how many ways can a teacher arrange 6 students in the front row of a classroom with a total of 20…

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