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

If ⁶P_r = 6, find the value of ⁶P_r+1

Correct Answer: Option A

Explanation

6P^r = 6 Thus r = 1
N.B 6P¹ = (frac{text{6!}}{text{(6 – 1)!}})
= (frac{text{6!}}{text{5!}})
= (frac{6 times text{5!}}{text{5!}}) = 6
6P_{r + 1} = 6P₂ = (frac{text{6!}}{(6 – 2)text{!}} = frac{6text{!}}{text{4!}})
= (frac{6 times 5 times text{4!}}{text{4!}})
= 30