If 6Pr = 6, find the value of 6Pr+1
A
30
B
33
C
35
D
15
Verified Correct Answer: A.
Step-by-Step Mathematical Solution
6Pr = 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
6Pr + 1 = 6P2 = \(\frac{\text{6!}}{(6 - 2)\text{!}} = \frac{6\text{!}}{\text{4!}}\)
= \(\frac{6 \times 5 \times \text{4!}}{\text{4!}}\)
= 30
Source: Myschool Past Questions Archive (Record #2869)