Merge branch 'master' into master

mathgenerator/mathgen.py

@@ -420,6 +420,7 @@ def regularPolygonAngleFunc(minVal = 3,maxVal = 20):
     return problem, solution 
   
 def combinationsFunc(maxlength=20):
+
     def factorial(a):
         d=1
         for i in range(a):
@@ -428,6 +429,9 @@ def combinationsFunc(maxlength=20):
         return d
     a= random.randint(10,maxlength)
     b=random.randint(0,9)
+
+
+
     solution= int(factorial(a)/(factorial(b)*factorial(a-b)))
     problem= "Number of combinations from {} objects picked {} at a time ".format(a,b)
     
@@ -586,6 +590,45 @@ def intersectionOfTwoLinesFunc(
         solution = f"({fractionToString(intersection_x)}, {fractionToString(intersection_y)})"
     return problem, solution
 
+def permutationFunc(maxlength=20):
+    a = random.randint(10,maxlength)
+    b = random.randint(0,9)
+    solution= int(math.factorial(a)/(math.factorial(a-b)))
+    problem= "Number of Permutations from {} objects picked {} at a time =  ".format(a,b)
+    return problem, solution
+
+def vectorCrossFunc(minVal=-20, maxVal=20):
+    a = [random.randint(minVal, maxVal) for i in range(3)]
+    b = [random.randint(minVal, maxVal) for i in range(3)]
+    c = [a[1]*b[2] - a[2]*b[1],
+         a[2]*b[0] - a[0]*b[2],
+         a[0]*b[1] - a[1]*b[0]]
+    return str(a) + " X " + str(b) + " = ", str(c)
+
+def compareFractionsFunc(maxVal=10):
+    a = random.randint(1, maxVal)
+    b = random.randint(1, maxVal)
+    c = random.randint(1, maxVal)
+    d = random.randint(1, maxVal)
+
+    while (a == b):
+        b = random.randint(1, maxVal)
+    while (c == d):
+        d = random.randint(1, maxVal)
+
+    first=a/b
+    second=c/d
+
+    if(first>second):
+        solution=">"
+    elif(first<second):
+        solution="<"
+    else:
+        solution="="
+    
+    problem = f"Which symbol represents the comparison between {a}/{b} and {c}/{d}?"
+    return problem,solution
+
 def simpleInterestFunc(maxPrinciple = 10000, maxRate = 10, maxTime = 10):
         a = random.randint(1000, maxPrinciple)
         b = random.randint(1, maxRate)
@@ -642,4 +685,7 @@ surfaceAreaConeGen = Generator("Surface Area of cone", 38, "Surface area of cone
 volumeConeGen = Generator("Volume of cone", 39, "Volume of cone with height = a units and radius = b units is","c units^3", volumeCone)
 commonFactors = Generator("Common Factors", 40, "Common Factors of {a} and {b} = ","[c, d, ...]",commonFactorsFunc)
 intersectionOfTwoLines = Generator("Intersection of Two Lines", 41, "Find the point of intersection of the two lines: y = m1*x + b1 and y = m2*x + b2", "(x, y)", intersectionOfTwoLinesFunc)
-simpleInterest = Generator("Simple Interest", 42, "Simple interest for a principle amount of a dollars, b% rate of interest and for a time period of c years is = ", "d dollars", simpleInterestFunc)
+permutations= Generator("Permutations",42, "Total permutations of 4 objects at a time from 10 objects is","5040", permutationFunc)
+vectorCross = Generator("Cross Product of 2 Vectors", 43, "a X b = ", "c", vectorCrossFunc)
+compareFractions=Generator("Compare Fractions",44,"Which symbol represents the comparison between a/b and c/d?",">/</=",compareFractionsFunc)
+simpleInterest = Generator("Simple Interest", 45, "Simple interest for a principle amount of a dollars, b% rate of interest and for a time period of c years is = ", "d dollars", simpleInterestFunc)