Help me with my other math plswhich is corrisponding
1 answer:
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Answer:
- First, you want to divide the numerator and denominator by the cosine(x), and afterwards, it looks like this...
- Include 45 as one of the parameters and correlate with <em>tan</em>.
- Next, you want to multiply the numerator and denominator by the conjugate of the denominator, in this case, <em>tan x + tan 45.</em>
- Lastly, simplify, and you have the answer as <em>tan(45 + x)</em>
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:
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