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Question

As3 Saved to this PC References Mailings Review View Help Tell me what ??? ??.lca . ? ||TNormalb?spa! Heading 1 Heading 2 Title Paragraph Styles Find the number of ways 12 students can form 4 teams with each containing 3 students. How does it differ from the number of ways the same student group can form 3 tearns with each containing 4 students? 3. 4. Compute the following sums given that the integer n is an even number 2m. 5. Which of the following is a correct example of geometric vector addition? In these diagrams, the black full arrow marked R is the total, and the other two dashed arrows are the component vectors we should be adding together If the identified resultant vector for a particular layout is not correct, draw the correct one redrawing the diagram. 6. Find the component 8 in each case of the vector b giv en its alignment with respect to vector a in each of the following cases: a a and bare parallel a (3 05, 47, 52, l 9), b ? (6 1,-94.38) b. a and b are perpendicular to each other a 1,2-3. 4b 2. 1,8, 4) c. a and b are perpendicular to each other a -Q. 1,43) b (26, 2. 8.)

Explanation / Answer

Dear Student Thank you for using Chegg !! Given Total Number of Students = 12 Number of teams = 4 Number oof students in each team = 3 a) Number of ways of grouping Selection of first group = 12C3 Second Group = 9C3 Thrid Group = 6C3 Fouth Group = 3C3 Hence number of ways of forming 4 groups of equal size = 12C3 X 9C3 X6C3 X 3C3 / 4! Note:- It has been divided by 4! Because the 4 groups can rearrange themselves but the still the number of ways of student grouping should remain same = 15400 Solution b) If the same student group forms 3 groups of 4 student each First group = 12C4 Second Group = 8C4 Thrid Group = 4C4 Hence number of ways of forming 3 groups of equal size = 12C4 X 8C4 X 4C4 / 3! = 5775 Solution The difference between 4 group with 3 sudent and 3 groups with 4 students is clear as above

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