In a linear arrangement of four people P, Q, R, and S, if P is sitting next to Q
Practice Questions
Q1
In a linear arrangement of four people P, Q, R, and S, if P is sitting next to Q and R is sitting at one of the ends, which of the following is a possible arrangement?
R, P, Q, S
S, R, P, Q
Q, P, R, S
P, S, R, Q
Questions & Step-by-Step Solutions
In a linear arrangement of four people P, Q, R, and S, if P is sitting next to Q and R is sitting at one of the ends, which of the following is a possible arrangement?
Step 1: Identify the people involved: P, Q, R, and S.
Step 2: Understand the conditions: P must sit next to Q, and R must be at one of the ends.
Step 3: Determine the possible positions for R. R can be at either the left end or the right end of the arrangement.
Step 4: If R is at the left end, the arrangement starts with R. We need to place P and Q next to each other.
Step 5: Place P next to R, which gives us R, P. Now we need to place Q next to P, resulting in R, P, Q.
Step 6: The only person left is S, who can be placed at the right end, giving us the arrangement R, P, Q, S.
Step 7: Check if this arrangement satisfies all conditions: R is at one end, and P is next to Q. It does.
