Question: How many integer solutions are there to the equation: $1+$2+$3+$4= 16? Score: 011 3 Unanswered Advice The number of different solutions to this equation is

How many integer solutions are there to the equation: $1+$2+$3+$4= 16? Score: 011 3 Unanswered Advice The number of different solutions to this equation is the same as picking 16 objects out of a set of4 objects, where repetition is allowed. Indeed: 1:1 corresponds to how many times the first object was picked,x2 how many times the second object was picked, etc. This number is C(l + 4 l, 16) = C(19,16) = 969. How many integer solutions are there to the equation: x1+2+ 23 + 24 + 25+ 26 = 10? Expected answer: 3003 X Score: 0/1 X Unanswered Advice The number of different solutions to this equation is the same as picking 10 objects out of a set of 6 objects, where repetition is allowed. Indeed: x1 corresponds to how many times the first object was picked, x2 how many times the second object was picked, etc. This number is C(10 + 6 - 1, 10) = C(15, 10) = 3003

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