Answer:
24.
Step-by-step explanation:
In a standard deck of 52 cards, there are four kings and four aces.
Permutation
gives the number of ways to choose
items out of a pile of
of these items. The equation for calculating
.
Consider: how many ways to choose two kings out of four? Assume that the order for choosing the two cards does not matter. The number of possible ways can be found using the following permutation:
.
Similarly, find the number of ways to choose three aces out of four.
.
Note that
- No card other than the two kings and the three aces are involved in this choice of five cards.
- The choice of the two kings is independent of the choice the choice of the aces. (Choosing some kings does not change the choices of aces, and vice versa for the choice of the kings.)
Therefore, multiply these two permutations to find the number of ways to choose these five cards:
.
The answer would be 6, hope this helps
Answer:
Step-by-step explanation:
The length and the width are based on the height.
height: h
length: 5h + 2
width: 3h - 2
If the sum of those is 126, then:
h + 5h + 2 + 3h - 2 = 126 and
9h = 126 so
h = 14
length is 5(14) + 2 which is 72
width is 3(14) - 2 which is 40
The volume is found by multiplying the length times the width times the height:
14 * 72 * 40 = 40,320 inches cubed
Y=-2x+4. is what it simplifies too. there is not enough info to solve