4. Solve the following counting problems. (a) In how many ways can the letters of the word GLACIER. be arrangml? (b) A 4Inember exmutive committee is to be formed from a 124nernher board of directors. In how many ways can it be formed? (0) A company car that. has a seating capacity of six is to be used by six employees who have formed a ear pool. If only four of these employees :an drive= how many possible seating arrangements are there for the group? ((1) In poker, a full house consists of three of a kind and a pair. How many full houses are possible in a standard 52-eard deck