Question

nP5 =42(nP3)

Answer 1

56

Answer 2

can u clarify? and tell me the steps?

Answer 3

n P 5 = 42( n P 3 )

n*(n-1)*(n-2)*(n-3)*(n-4) = 42( n*(n-1)*(n-2) )

Let z = n*(n-1)*(n-2) which would give us

z(n-3)*(n-4) = 42z

(n-3)(n-4) = 42

n^2 - 7n + 12 = 42

n^2 - 7n + 12 - 42 = 0

n^2 - 7n - 30 = 0

(n - 10)(n + 3) = 0

n - 10 = 0 or n+3 = 0

n = 10 or n = -3

Since n > 0, this means that the only solution is n = 10

Answer 4

oh, this was a real question? lol
i thought it look'd like something familiar. Lol

Answer 5

i saw this on the internet is this right?
n!/(n - 5)! = 42 * n! / (n - 3)!
(n - 3)(n - 4) = 42
n = 10

Answer 6

yes that's correct (missing a few steps, but has the right idea and answer)

Answer 7

oh ok well thanks

Answer 8

np