The possible combination is 1365.
The correct option is (B)
<h3>What is Combination?</h3>
Combinations are also called selections. Combinations correspond to the selection of things from a given set of things. Here we do not intend to arrange things. We intend to select them. We denote the number of unique r-selections or combinations
Combinations are selections made by taking some or all of a number of objects, irrespective of their arrangements. The number of combinations of n different things taken r at a time, denoted by
nCr = n!/ r!( n- r)!
Given:
Players, n = 15
Selected, r = 11
So,
15 C_11
= 15!/ 11 ! 4 !
= 15*14*13*12 / 4*3*2
= 1365
Hence, the possible combination is 1365.
Learn more about combination here:
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Answer:
w < 0.6
Step-by-step explanation:
In this problem, one is given an algebraic inequality. These types of inequalities can be solved using similar methods that one uses to solve an algebraic expression, in essence, one uses inverse operations. The only major difference between solving algebraic inequalities and algebraic expressions is that when one divides or multiplies by a negative number, one must remember to flip in the inequality sign to maintain the trueness of the equation. In this case, such a rule will not come into play.
7w - 5 < 1 - 3w
Inverse operations,
7w - 5 < 1 - 3w
+3w +3w
10w - 5 < 1
+5 +5
10w < 6
/10 /10
w < 0.6
So the steps to find the inverse are:
- Change f(x) to y
- Switch the positions of x and y
- Solve for y
- Change y to f^-1(x)
Now let's solve for y as such:
<u>Your inverse is f^-1(x) = 3/2x + 3</u>
Answer:
(5 + 3y)(25 - 15y + 9y²)
Step-by-step explanation:
This is a sum of cubes and factors in general as
a³ + b³ = (a + b)(a² - ab + b²), thus
125 + 27y³
= 5³ + (3y)³ with a = 5 and b = 3y
= (5 + 3y)(5² - 5(3y) + (3y)² )
= (5 + 3y)(25 - 15y + 9y²)
Answer:
Step-by-step explanation:
We can use normal aproximation, assuming that the random variables are a lot of that means the sample size is large.
Using the normal distribution table,
P(z>5) = 0.00005
Hence, we can conclude that the probability that the stock’s price will exceed 105 after 10 days is very small.
Hope this helps!
