Since the order of the selection of files does not matter, this is the concept of combination not permutation.
therefore suppose we want the combination of 5 files that can be selected from 14. This will be given by:
14C5
=(14!)/(9!3!)
=2002
We therefore conclude that there are 2002 ways that 5 files can be selected from 14 files;
In a pond there are 56 fish.
12 of the fish in the pond are red that means that 44 of the fish are not red.
We can use the fraction to represent the 12 red fish out of all the fish together.
can be reduced by dividing both the numerator and denominator by the greatest common factor of 12 and 56. reduced is .
3 ÷ 14 = 0.21428571428571
0.21428571428571 × 100 = 21.428571428571%
Therefore, 21.428571428571% of the fish are red.
The second one, because 10^2 (Positive).
Given : (5x + 8 - 6x) (4 + 2x - 7)
The given question can be written as : (8 - x) (2x - 3)
⇒ 8(2x - 3) - x(2x - 3)
⇒ 16x - 24 - 2x² + 3x
⇒ -2x² + 19x - 24
<u>Answer</u> : Option D