Let A = {2, 3, 4, 5, 6}, B = {4, 5, 6, 7,8}, and C = {3,6,8}.

Q: If a "word" is any arrangement of 3 different letters, how many 3-letter "words" can be formed from…

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Q: Evaluate if x=4,8,3,-2 ∑x ∑x+1 ∑(x+1) 3∑x - 4

A: Given that  if x=4,8,3,-2

Q: A committee of 4 boys and 5 girls is to be formed from a group of 8 boys and 10 girls. How many…

A: Say the given question is of combination or not combination .

Q: Suppose you had 4 red checker pieces and 5 black checker pieces. How many ways can you arrange these…

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Q: Suppose that an outfit consists of a shirt and a pair of pants. If you have 4 different shirts and 3…

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Q: there are 6 men and 7 women in the math club. a committee is to be formed consisting of 3 men and 4…

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Q: A bag contains 2 red marbles, 5 green ones, 1 lavender one, 5 yellows, and 3 orange marbles.  How…

A: Since we are making set, so the order will not matter.   If we select the lavender one, then we can…

Q: Find the number of ways in which we can select a team of 6 players from a class of 12 people.

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Q: A basket ball team has 5 guards, 7 forwards, and 3 centers.  How many ways are there to have a…

A: A basket ball team has 5 guards, 7 forwards, and 3 centers. How many ways are there to have a lineup…

Q: How many ways can a cricket team of 4 bowlers and 7 batsmen be formed from a group of 8 bowlers and…

A: GIVEN DATA : There are 8 bowlers and 11 batsmen       TO FIND : Number of ways a cricket team formed…

Q: Your drama teacher has to choose a female lead and a male lead from 5 female actresses and 3 male…

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Q: d the number of permutations of a rectang

A: Concept: Since total number of permutation of choosing "r" points out of "n" point is:

Q: There are 4 men and 5 women in a room. The leader wants a participation from a group of 2 men and 2…

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Q: How many different committees can be formed from 7 teachers and 40 students if the committee…

A: Solution-: Given: Number of teachers =7, Number of students =40 We want to find how many different…

Q: A staff car park at a university has 13 parking spaces in a row. There are 9 cars to be parked.…

A: Permutation and combination used to calculate the number of possible ways to arrange or select a…

Q: Find the union: {2, 4, 6, 8, 10} U {4, 6, 12, 14}.

A: Given: Given sets are A=2, 4, 6, 8, 10B=4, 6, 12, 14

Q: In a flower bed, there are 23 rose plants in the first row, 21 in the second, 19 in the third, and…

A: Given, numbers of rose plants in 1st, 2nd, 3rd row…… are 23, 21, 19,……..,5

Q: A parent brings 4 children to a movie and the family sits in a row of 5 seats. How many ways can…

A: There are total 5 members to sit. 4 of them are children and one parent. The parent sit on one one.…

Q: Four married couples have bought 8 seats in the same row for a concert. In how many different ways…

A: Four married couples have bought 8 seats in the same row for a concert. There are two possibilities…

Q: 6. In how many ways 3 boys and 5 girls be arranged in a row so that all the 5 girls, are together?

A: Solution - total number of boys=3 Total number of girls=5

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: Assume we have 23 coloured trousers and 12 coloured t-shirts. How many coloured suits (trousers +…

A: Here we have 23 colored trousers and 12 coloured t-shirts. And we have to find how many suits we can…

Q: The letters A,A,A,B,B,C,C,D,E,F,G,H are printed on identical cards (one letter on each card). The…

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Q: A small high school has 30 seniors, 20 juniors, and 10 sophomores. If 3 students are chosen from…

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Q: Ladonna has 7 books to place on a shelf. How many possible arrangements of all 7 books are there?

A: Given,Total no.of books=7

Q: If A = A-1 = -5 15 4 -11 -1 3 14 -12, then 3

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Q: A theater has 30 seats in the first row, 32 seats in the second row, in- creasing by 2 seats each row…

A: Total number of rows = 26Increment in each row = 2So, starting from the first row, we have 30 seats,…

Q: A poker hand consists of five cards from a deck of 52.  Order does not matter.  In how many ways can…

A: A poker hand consists of five cards from a deck of 52.   Order does not matter i.e. combination is…