Answer:
76
Step-by-step explanation:
The last two digits of powers of 36 repeat in a pattern of length 5:
36^1 mod 100 = 36
36^2 mod 100 = 96
36^3 mod 100 = 56
36^4 mod 100 = 16
36^5 mod 100 = 76
36^6 mod 100 = 36
The last two digits of the power 2015 are the same as those of the 5th power: 76.
Answer:
it is C 10
Step-by-step explanation:
If the positions are distinct, as in executive offices, then P(9, 5).
P(9, 5) = 9!/(9 - 5)! = 15120
If the positions are equivalent, such as seats in a legislative body, then C(9, 5).
C(9, 5) = 9!/[(9 - 5)!(5!)] = 126
Assuming the five positions are unique in their duties and responsibilities (i.e. order matters): position 1 has 9 candidates to choose from, position 2 has 8, position 3 has 7, and so on. Otherwise, if you're talking about 5 distinct but duplicate positions - meaning their responsibilities are the same but 5 people are required to carry them out - you need to divide the previous total number of possibilities by the number of ways those possibilities could have been reordered.
Answer:
D
Step-by-step explanation:
36 pages divided by 4
A way to add fractions that always works is to multiply each numerator by the denominator of the other, then express the sum of products over the product of the denominators.
Here, you have
The sum is -1 1/12
When you do the multiplication you can notice that 10, 20, 30, 40 all have 0's at the end.
So that means 10 *20*30*40 = 1*2*3*4*10000 = 24*10000 = 240,000
