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- Four hungry boys went to bed, thinking about the batch of cookies that their mother had just baked. In the middle of the night, each of them got up and ate some of the cookies. Charlie got up first. He gave 2 cookies to the dog, then ate 1/10 of the remaining cookies and went back to bed. Bennett was the next to get up, and he ate 1/9 of the cookies. (The dog didn’t get any from him because he thought the dog looked full.) Oliver then got up and gave 4 cookies to the dog. Then he ate 1/4 of the remaining cookies. Davey was the last to get up, and he ate just 6 cookies. (He offered one to the dog, but the dog just turned away with a decided grimace.) When their mother went into the kitchen the next morning, she found ants, a pale-looking dog, a lot of crumbs, and only a few cookies, so she quickly whipped up another small batch to increase the amount by 2/3. Then she had a total of 55 cookies. How many cookies had she baked the day before?Colombian license plates are made of 6 places. The rest 3 are letters, and the last 3 are numbers (e.g., XYZ123). a) How many license plates are possible taking into account that Colombian plates use the Spanish alphabet (and it has one more letter than the English alphabet, ñ)? b) How many different license plates can be formed if numbers and letters can not be used more than once?As a vacation souvenir, a family of 4 members wanted to be photographed together with their 2 pets (a cat and a dog). Apparently, the pets are not in good terms. In how many ways can the photographer arrange them in a row so that the cat and the dog are not beside each other to keep everyone harmonious in the photo.
- a) (-∞,1]b) (-∞,1)c) [1,∞)d) (1,∞)Solve the word problem involving combinations. Show your solution. 1) To choose 3 letters from the word MATHBOXES, how many combinations are there? 2) From the word SECONDARY, how many combinations are there when 5 letters are selected? 3) There are 14 members in a volleyball team. Six of them will be selected as starters for each match and the rest are substitutes. If a member is injured and cannot join the next match, how many combinations of the substitutes are there for the next.Each of the teams in a mixed volleyball league consists of 5 men and 5 women. There are 9 men and 10 women, including Julia, who are trying out for a team. How many possible teams would include Julia? 15,876 31,752 45,722,880 457,228,800
- Susan's bioloy class begins with 1225 students. If 5/7 will finish the course and 2/25 of those get a passon grade, how many students will pass Susan's bioloy class this term?in a exam of 150 numbers of 150 Question, if their is no negative marks in 2001 then cutoff was 113. when they introduced 1/4 negative marking in 2002 the new cutoff is 91 and total seat 273 and student appear for this year exam is 2,75,000. but in next year exam( 2003) they introduced 1/3 negative with total seats 380 and total 1,80,000 students apperar for this year exam , then this year cutoff will be ?10- a-true b-false
- 6.2 is the last option, couldn’t fit it in.2 Correct and detailed answer will be Upvoted else downvotedWhile passing exams, 1/6 (one sixth) part of all students, who took exams, got C(mark). 56% of all students, who took exams, got B(mark), and only 14 people got A(mark), which is less than 9% but more than 4% from all students. How many students took exam in general?