Cathy is making labels using three letters (of the 26 in the alphabet) for each label. No two letters can be duplicated for any one label. What multiplication principle of counting is used to determine how many possible labels can be made?

Add 1/7 + -1/7 your answer should be reduced to its smallest form and should not be an improper fraction

(a) (8%) compute the probability of an even integer among the 100 integers 1! , 2! , 3! , until 100! (here n! is n factorial or n*(n-1)*(n-2) *… 1) (b) (16%) compute the probability of an even integer among the 100 integers: 1, 1+2, 1+2+3, 1+2+3+4, …., 1+2+3+… + 99, and 1+2+3+… + 100

Patty made a name tag in the shape of a parallelogram. reilly made a rectangular name tag with the same base and height. explain how the areas of the name tags compare.