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# Mathematics

• ## Combination and permutation?

I have two solutions for this problem. 1. (5C3)(4C3)(6!) = 28800 (solution from my old algebra textbook)2. 5*4*3*4*3*2*6! = 1036800 (my solution) What is your solution?What is the right solution?

• ## What was the cost of the watches a man bought?

He sells one watch at 10% profit and the other at 15% loss.
He didn't gain any profit or loss.
Let cost price of a watches be c  and  (540  −  c)
Suppose the first watch is sold at 10% profit and the other at 15% loss.
Profit in selling the first watch =  10c/100
Loss in selling the second watch = 15(540 − c)/100
10c/100 = 15(540 − c)/100
10c = 15(540 − c)
10c =15 × 540 − 15c
25c = 15 × 540
5c = 3 × 540
c = 3 × 108 = 324
Cost prices of the watches are Rs.324 and (540 - 324) = Rs.216

• ## Can you get an infinite amount of possibilities with a finite amount of things?

Favorite answer: Yes. Love is beyond math.

• ## Help with this math question!?

Favorite answer: This tests if you understand that the intersection of the two graphs gives the solutions for both x and y. By sight that is  x = 2, y = 3.
In case the graph does not guarantee enough acccuracy you can confirm that result by substitution.
When x = 2, f(x) = 3 and h(x) = 3, so the intersection was at (2, 3)
• ## What’s the value of x and y?

Favorite answer: You can work it out, step by step:

The triangle on the right is an equilateral triangle, so all angles are 60 degrees

The left hand triangle is an isosceles triangle. Its peak is 180 - 60 = 120 degrees (supplementary angle of 60 degrees)

The other two angles in the isosceles triangle will be equal and will total 180 -120 = 60. Each one will be 60/2 = 30 degrees

Now you have two simple equations:

7y + 9 = 30

7y = 21

y = 3

4x - 2 = 30

4x = 32

x = 8

• ## The formula for the volume of a cube with side length s is V=s^3. The formula for the surface area of a cube is A=6s^2.?

a) Find the formula for s=f(A) b) If V=g(s), find a formula for g(f(A)) help! Very confused, can someone give steps!!