Answer: C(10,7)
Reason:
We can numerically compute both C(10, 3) and C(10, 7) and we would get 120 for each result.
Use the nCr combination formula

In general we have the rule C(n, r) = C(n, n-r)
Given:
The equation is

To find:
The formula where x is the subject of the given formula.
Solution:
To make x the subject of the formula, we need to isolate the variable x.
We have,

Subtracting p from both sides, we get



Therefore, the required formula of x is
.
(22.5+38.25)(4/5)=48.6 or 48 6/10=48 3/5 quarts
Step-by-step explanation:
Claim:
it takes n - 1 number of breaks to break the bar into n separate squares for all integers n.
Basic case -> n = 1
The bar is already completely broken into pieces.
Case -> n ≥ 2
Assuming that assertion is true for all rectangular bars with fewer than n squares. Break the bar into two pieces of size k and n - k where 1 ≤ k < n
The bar with k squares requires k − 1 breaks and the bar with n − k squares
requires n − k − 1 breaks.
So the original bar requires 1 + (k−1) + (n−k−1) breaks.
simplifying yields,
1 + k − 1 + n − k − 1
1 - 1 + n - 1
n - 1
Therefore, we proved as we claimed that it takes n - 1 breaks to break the bar into n separate squares.