A hand consists of 4 cards from a well-shuffled deck of 52 cards.

a. Find the total number of possible 4-card poker hands.

b. A spade flush is a 4-card hand consisting of all spade cards. Find the number of possible spade flushes.

c. Find the probability of being dealt a spade flush.

Determine whether the set of whole numbers is closed under addition. explain why the set is or is not closed. give an example.

Sam makes his sales calls according to a pattern. he travels either north or south depending on the calendar. some of his past trips were as follows: on february 17, april 24, june 10, september 19, and november 3 he drove north. on february 28, may 25, august 22, november 20, and december 18, he drove south. describe sams' pattern. in which direction will sam drive on oct4 and oct 24?

To prove that angle def = angle dgf by sas, what additional information is needed? def congruent to dgf dfe congruent to dfg de congruent to dg dg congruent to gf