2. You have one x-block, six x-blocks (all of which you must use), and a supply of 1-blocks. How many different rectangles can you make? Draw an algebra block diagram for each. 3. You have one x2-block, twelve 1-blocks (all of which you must use), and an ample supply of x-blocks. How many rectangles with different dimensions can you make? Draw an algebra-block diagram for each. 4. You might not have seen an algebra-block diagram yet for a factorization that contains a minus sign. Try drawing a diagram to illustrate the identity 2x2-x-1 = (2x+1)(x-1).-
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.
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