Question

Seven students, 'R'; 'S, T, U, V, Wand X are made to stand in a line in order of increasing heights (shortest student first)
The statements below give information about the positions in the line:
(1) 'S' is the tallest student.
(11) 'W is exactly between 'R' and 'U'.
(III) There are exactly three students between 'U' and 'X'.
(IV) 'T' comes right after 'S' in height.
Question:
How many arrangements of students are possible according to the given information?
1
2
3​

Answer 1

Ans

1

Step-by-step explanation:

tall to short

s  t x   v  r   w   u

Answer 2

Answer:

(((3•(x2))-8xy)+(y2))-(((7•(x2))-4xy)-5y2)

STEP

2

:

Equation at the end of step

2

:

(((3•(x2))-8xy)+(y2))-((7x2-4xy)-5y2)

STEP

3

:

Equation at the end of step

3

:

((3x2 - 8xy) + y2) - (7x2 - 4xy - 5y2)

STEP

4

:

STEP

5

:

Pulling out like terms

5.1 Pull out like factors :

-4x2 - 4xy + 6y2 = -2 • (2x2 + 2xy - 3y2)

Trying to factor a multi variable polynomial :

5.2 Factoring 2x2 + 2xy - 3y2

Try to factor this multi-variable trinomial using trial and error

Factorization fails

Final result :

-2 • (2x2 + 2xy - 3y2)