If 6Pr = 6, find the value of 6Pr+1

Assessment: JAMB UTME - Mathematics - 2001 Subject: General Mathematics

Question 1 Report

If 6Pr = 6, find the value of 6Pr+1
Answer Details
The notation 6Pr means the number of permutations of r objects selected from a set of 6 distinct objects. Since 6Pr = 6! / (6 - r)!, we know that 6Pr = 6 when r = 1, since 6P1 = 6! / (6 - 1)! = 6! / 5! = 6. To find the value of 6Pr+1, we can simply multiply 6Pr by (6 - r) since we are selecting one additional object. So, 6Pr+1 = 6Pr * (6 - r) = 6 * (6 - 1) = 30 when r = 1. Therefore, the answer is 30.

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