A hardware supplier manufactures three kinds of clamps, types A, B, and C. Production restrictions force it to make 20 more type C clamps than the total of the other types and twice as many type B clamps as type A clamps. The shop must produce 260 clamps per day. How many of each type are made per day?
Permutations and Combinations
If there are 5 dishes, they can be relished in any order at a time. In permutation, it should be in a particular order. In combination, the order does not matter. Take 3 letters a, b, and c. The possible ways of pairing any two letters are ab, bc, ac, ba, cb and ca. It is in a particular order. So, this can be called the permutation of a, b, and c. But if the order does not matter then ab is the same as ba. Similarly, bc is the same as cb and ac is the same as ca. Here the list has ab, bc, and ac alone. This can be called the combination of a, b, and c.
Counting Theory
The fundamental counting principle is a rule that is used to count the total number of possible outcomes in a given situation.
A hardware supplier manufactures three kinds of clamps, types A, B, and C. Production restrictions force it to make 20 more type C clamps than the total of the other types and twice as many type B clamps as type A clamps. The shop must produce 260 clamps per day. How many of each type are made per day?
a) The number of type A clamps produced is ___.
The number of type B clamps produced is ___.
The number of type C clamps produced is ___.
b) There is no solution.
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