Use the Venn diagram and the given conditions to determine the number of elements in each region, or explain why the conditions are impossble to meet nU) = 47, n(A)= 21, n(B) 22, nC)= 14, n(AN B)=8, nAncj6, nBnc)=7, nAnBnc)=2 VE VII First decide whether or not the conditions are possible to meet Select the correct choice below and in the answer boxtes) within your choice respectively OA The number of elements in regions L, , IV. V. VI. VI V are elements in set A but there are alements in set A that are also in set Bor C Asmter protlem exists for set C OB. i mpossible to meet the conditone because there are only (Smplity your answers) OC. Rs mpossible to meet the conditions because there are onlyelements in set Buthere are ements in set B that are also in set Aor CAsmlar probiem exists for set C (Simpity your ancwers)

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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.