please show all steps just for question 2. a, b, and c

etise fill in the missing numbers using Pascal's method. 495 825 2112 2. In the following arrangements of letters, start from the top and proceed to the next row by moving diagonally left or right. How many different paths will spell each word? a) P A A RRRRRR NNNNNNN S S S S S S 3003 MHR. Permutations and Organized Counting I b) M A A . H H H H M M M M M M A A A A A A A S SS RR ITT A A A A N N N GG LLL 5. Sung is three blocks east and five blocks south of her friend's home. How many different routes are possible if she walks only west or north? 6. Ryan lives four blocks north and five blocks west of his school. Is it possible for him to take a different route to school each day, walking only south and cast? Assume that there are 194 school days in a year. 7. A checker is placed on a checkerboard as shown. The checker may move diagonally upwand. Although it cannot move into a square with an X. the checker may jump over the X into the diagonally opposite square. c)