Please help me with these practice test question, thank you.

1. How many arrangements could be made of the word GRATEFUL if: 0 there are no restrictions? 0 the first letter is a vowel and the last letter is a consonant? o the first three letters are vowels? 1. Jessie starts from home and walks three (3) blocks north and five (5) blocks east to the library. From the library, she travels four (4) blocks north and seven (7) blocks east to the pizzeria. 0 How many different routes can Jessie take to go from home to the library if she is always moving closer to the library? 0 How many different routes can Jessie take to go from home to the pizzeria if she is always moving closer to the pizzeria? 1. A teacher must select five (5) students to attend a conference. She has 11 males and 13 females to choose from. Determine the number of way of selecting: o a group of five with no restrictions 0 exactly 3 females 0 at least 4 males 0 at most 3 females 1. At the horse races, the chances of a horse winning is expressed as odds against. In the first race, the different odds against winning for three of the horses are as follows: Horse 1 at 7:2, Horse 2 at 4:1 and Horse 3 at 11:3. 0 What are the odds in favour of Horse 2 winning the race? 0 Which horse has the better probability of winning the race? 1. In the game of Bingo, there are 75 balls numbered from 1 to 75. Using the related formula, what is the probability that you select: 0 a ball that is an even number? 0 a ball that is less than 16 or greater than 60? O a ball that is even and then a ball that is odd? (there is no replacement)