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MATHEMATICS

JAMB 2001 - Question 48

Mathematics 2001 JAMB Past Questions - Question 48: if pr =6, find the value of pr+1

if pr =6, find the value of pr+1

A: 15

B: 30

C: 33

D: 35

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Correct Answer

Explanation

To find the value of P(r+1), we need to understand the concept of permutations.The formula for permutations is given by:nPk = n! / (n-k)!Given that Pr = 6, we can write the equation as:6P(r) = 6Using the formula for permutations, we can rewrite the equation as:6! / (6-r)! = 6Simplifying further, we have:720 / (6-r)! = 6To find the value of P(r+1), we substitute (r+1) for r in the equation:6! / (6-(r+1))! = P(r+1)Simplifying the equation, we have:720 / (5-r)! = P(r+1)Therefore, the value of P(r+1) is 720 / (5-r)!.