For each of the counting questions below, find the correct computation from the list below. answers may be used multiple times or not at all 10 13 none of these p(10, 4 104 410 10 (a) how many distinet ways can you select a committee of 4 people from a group of 10 people? (b) how many distinct ways can a president, vice presiden secretary and treas selected from a group of 10 people if no one can hold more than one position? (chow many 4 digit combinations can you makc for a lock with digits 0 through 9? (dhow many shortest lattice paths are there from 0,0) to (10, 4)? (e)how many ways are there to distribute 10 identical balls among 4 boxes? (f)at a movie theater with 10 different movies, how many ways can 4 people select a show (g)how many ways can you arrange cxactly 4 one's in a string of 10 bits? attempted not