Answer: 27! - [22! * 6!]
Step-by-step explanation:
Decorations available = 12 blue ballons, 9 Green Lanterns and 6 red ribbons
To determine the number if ways of arrangement for if the ribbons must not be together, we must first determine the number of possible ways to arrange these decorations items if there are no restrictions.
Total number of ways to arrange them = [12+9+6]! = 27! = 1.089 * 10^28
If this ribbons are to be arranged distinctively by making sure all six of them are together, then we arrange the 6 of them in different ways and consider the 6ribbons as one entity.
Number of ways to arrange 6 ribbons = 6!.
To arrange the total number of entity now that we have arranged this 6ribbons together and taking them as one entity become: = (12 + 9 + 1)!. = 22!
Number of ways to arrange if all of the ribbons are taken as 1 and we have 22 entities in total becomes: 22! * 6!.
Hence, to arrange these decoration items making sure no two ribbons are together becomes:
= 27! - (22! * 6!)
= 1.08880602 * 10^28
C. You are right on the question
Answer:
see explanation
Step-by-step explanation:
(A) Given
4(2x - 3) = 4 ( divide both sides by 4 )
2x - 3 = 1 ( add 3 to both sides )
2x = 4 ( divide both sides by 2 )
x = 2
(B)
As a check substitute x = 2 into the left side of the equation and if equal to the right side then it is the solution.
4(2(2) - 3) = 4(4 - 3) = 4(1) = 4 = right side
Hence x = 2 is the solution
Answer:
The first one is B
Step-by-step explanation:
if you count how many faces or sides it has its 5
Answer:
5
Step-by-step explanation:
35 in total, sliced into 7 equal parts (1 per week).
so, each weekly part is therefore 35/7 = 5.