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The number of permutations of picking 4 pens from the box is 30.
There are six different unique colored pens in a box.
We have to select four pens from the different unique colored pens.
We have to find in how many different orders the four pens can be selected.
<h3>What is a permutation?</h3>A permutation is the number of different arrangements of a set of items in a particular definite order.
The formula used for permutation of n items for r selection is:
Where n! = n(n-1)(n-2)(n-3)..........1 and r! = r(r-1)(r-2)(r-3)........1
We have,
Number of colored pens = 6
n = 6.
Number of pens to be selected = 4
r = 4
Applying the permutation formula.
We get,
=
= 6! / 4!
=(6x5x4x3x2x1 ) / ( 4x3x2x1)
= 6x5
=30
Thus the number of permutations of picking 4 pens from a total of 6 unique colored pens in the box is 30.
Learn more about permutation here:
#SPJ1
Answer:
Part 1) 10 modules per floor
Part 2) Two different rectangular prism
Step-by-step explanation:
Part 1)
Let
x ----> the number of modules
y ---> the number of stories
we have
Divide the number of modules by the number of stories
so
Part 2) How many different rectangular prisms could be made from that number?
The number is 10
Look at the factors of 10
They are 1,2 ,4,5 and 10
Pick any two of these factors and determine if there is a third value from this list so that the product of the three factors is 10
There are 2 combinations that will work :
1 0×1×1
2 ×5×1