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
4
Answers
Answer:
A total of six arrangements of students can be arranged according to the given condition.
(The correct answer is not given in the options)
Step-by-step explanation:
The order of the students can be arranged as follows.
U W R V X T S.
U W V R X T S.
U V W R X T S.
X R V W U T S.
X R W V U T S.
X V R W U T S.
Where 'S' comes in the last as he/she is the tallest one and then 'T'.
'X' and 'U' contain exactly 3 students between them and 'W is exactly between 'R' and 'U'.
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21 MAY 2022.
Answer:
No of arrangements of students are possible = 6
Step-by-step explanation:
by statement (1) 'S' is the tallest student so 'S' will be always at last
by statement (IV) 'T' comes right after 'S' in height 'T' will be second from last
by statements (11) 'W is exactly between 'R' and 'U'
and (III) There are exactly three students between 'U' and 'X', so one of 'X' or 'U' them must in 1st place
No of arrangements of students are possible will be
U W R V X T S.
U W V R X T S.
U V W R X T S.
X R V W U T S.
X R W V U T S.
X V R W U T S.
No of arrangements of students are possible = 6
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