4 students go to a theatre and they buy tickets from a row with seats numbered from 1 to 16 but no two of them will have adjacent seats. In how many ways can this be done

Q: 2. In how many ways can 6 girls and 9 boys be divided into three groups of equal size, if each group…

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Q: A group of 7 friends line up for a picture. Two of the friends are named Bert and Gert. How many…

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Q: There are 8 nickels, 5 dimes, 7 quarters, and 6 loonies in a piggy bank. You are thinking of…

A: Given, in a piggy bank, there are  8 nickels, 5 dimes, 7 quarters, and 6 loonies.

Q: Six men and eight women are to line up for a picture with the six men in the middle. How many ways…

A: Given that  Six men and eight women are to line up for a picture with the six men in the middle  How…

Q: There are 5 boys and 5 girls at a party. In how many ways can they be seated in a row if they must…

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Q: The first box contains 5 apples, the second box contains 7 apples, the third box contains 9 apples…

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Q: How many different baseball bating line ups are possible if the coach wants to put one of the three…

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Q: 9 books in a row on his bookshelf. He will put one of the books, Hamlet, in the first spot. He will…

A: Given Data: Total books: n=9 First spot: One book, Hamlet Last spot:  One book Macbeth   In the…

Q: Martha invited 4 friends to go with her to the movies. There are 120 different ways in which they…

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

Q: In how many ways can a committee of 5 be formed from 5 juniors and 7 seniors if the committee must…

A: We have to find the possible number of ways to form a committee of 5 members from 5 juniors and 7…

Q: 4 For this problem, assume there are 10 adjacent seats in a row. How many different ways can 10…

A: the number of arrangements or ways  r people seated n adjacent seats row  =nPr =n!/(n-r)!