Problema Solution
In the manufacture of a certain type of automobile, four
kinds of major defects and seven kinds of minor defects can
occur. For those situations in which defects do occur, in how
many ways can there be twice as many minor defects as there
are major ones?
Answer provided by our tutors
In order to have twice as many minor defects as there are major ones, we can have:
Case I: 1 major 2 minor
number of ways: (4)(7)(6)
Case II: 2 major 4 minor
number of ways: (4)(3)(7)(6)(5)(4)
Case III: 3 major 6 minor
number of ways: (4)(3)(2)(7)(6)(5)(4)(3)(2)
Total number of ways from all three cases:
(4)(7)(6) + (4)(3)(7)(6)(5)(4) +(4)(3)(2)(7)(6)(5)(4)(3)(2)=131208