8. The variables a, b, c, d, e, and fare each assigned a distinct value from the set {1, 2, 3, 4, 5, 6} (in other words, different variables get different values). Find the largest integer less than or equal to the maximum possible value of the expression ab +-. А. 30 d В. 31 С. 32 D. 33 Е. 34
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- Let [A1, A2], [B1, B2], [C1, C2] be 3 married couples who attended a concert. Show that the number of ways to seat the 3 married couples attending a concert is equal to 72 if and only if members of the same sex are all seated next to each other in the 6 row seats?Bag A contains 10 balls of which 3 are red and 7 are blue(assume that each ball is numbered, so all balls are different from each other). Bag Y contains 10 balls of which 4 are red and 6 are blue(assume that each ball is numbered, so all balls are different from each other). In how many ways you could pick one red ball and one blue ball if one ball is picked from each of the bag?Suppose we have an urn with a total of 10 balls where 5 balls are marked with number "1" and 5 balls are marked with number "0”. Suppose we draw two balls without replacement from the urn. Let the number on the first ball be X1 and the number on the second ball be X2. Find P(X1 >=X2). (Note: Justify all your steps.)
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