The next number in the given series is going to be 565.
2, 3, 8, 27, 112, ?
2 * 1 + 1 = 3
3 * 2 + 2 = 8
8 * 3 + 3 = 27
27 * 4 + 4 = 112
112 * 5 + 5 = 565.
Good luck :)
For this problem, the most accurate is to use combinations
Because the order in which it was selected in the components does not matter to us, we use combinations
Then the combinations are 
n represents the amount of things you can choose and choose r from them
You need the probability that the 3 selected components at least one are defective.
That is the same as:
(1 - probability that no component of the selection is defective).
The probability that none of the 3 selected components are defective is:
Where 
is the number of ways to select 3 non-defective components from 117 non-defective components and 
is the number of ways to select 3 components from 120.
So:
Finally, the probability that at least one of the selected components is defective is:
P = 7.4%
Step-by-step explanation:
All the 5 rows of the coefficient matrix (since it is of order 5×8) will have a pivot position. The augmented matrix obtained by adding a last column of constant terms to the 8 columns of the coefficient matrix will have nine columns and will not have a row of the form [0 0 0 0 0 0 0 0 1]. So the system is consistent.
The least common multiple of 3 and 8 is 24.
The least common multiple of two numbers is the lowest value number that is a multiple of both the numbers. To find the least common multiple of 3 and 8, you first list their multiples:
Multiples of 3: 3, 6, 9, 12, 15, 18, 21, 24...
Multiples of 8: 8, 16, 24, 32, 40, 48, 56...
When you compare the two lists of multiples, you can see that the number 24 is the lowest number that is a multiple of both 3 and 8, so it is their LCM, or least common multiple.
<em>HOPE THAT HELPS!!!!</em>
