Seven students with unequal heights are arranged in a line. In how many ways can the students be arranged in a line so that the shortest student is first and the tallest student is last?
Added by Gregorio J.
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Therefore, we only need to arrange the remaining five students in the middle. Show more…
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Seven students, 'R', 'S', 'T', 'U', 'V', 'W', and '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. (2) 'W' is exactly between 'R' and 'U'. (3) There are exactly three students between 'U' and 'X'. (4) 'T' comes right after 'S' in height. Question: How many arrangements of students are possible according to the given information?
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