The answers are:
P(9, 2) = 72
P(5, 5) = 120
P(7, 7) = 5040
These are examples of permutations. The problems are asking us to find the total number of ways an event can happen.
In the first case, P(9, 2), we are asked to find the ways that 2 things can be chosen out of a group of 9.
9 x 8 = 72
P(5, 5) = 5 x 4 x 3 x 2 x 1
P(7, 7) = 7 x 6 x 5 x 4 x 3 x 2 x 1
Answer:
-1/81
Step-by-step explanation:
-27^-4/3
cbrt(-27^-4)
cbrt(-1/531441)
-1/81
1) neither
2) geometric sequence
Answer:
-39991'
Step-by-step explanation:
We require the sum of 7 terms of the G.S. -1, 6, -36 .....
The common ratio r = 6/-1 = -6 and the first term = -1.
Sum of n terms = a1 . (r^n - 1) / (r - 1)
Sum of 7 terms = -1 * (-6)^7 - 1) / (-6 - 1)
= -1 * 39991
= -39991 (answer).
