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Unit 3 Assignment - Probability 1. Calculate the value of each of the following: a) P(64) b) 8! - 4! c) C(7,5) d) (17) e) 17x16! | 5 T f) 71x8 . How many ways can you arrange the letters in the word REDCOATS, . with no restrictions . if the word must start with a vowel? . if it must start with a consonant? . ifthe 2nd, 5t and 7t letters must be vowels? . if it must start with a vowel and end with a consonant . if the smaller word RED must appear in the arrangement . if the vowels must not be together many 8 letter words can be made from the word ABSOLUTE . with no restrictions . if it must start with an A . if A and B must be together . if it A and B must be together at the front of the word . if B must always follow A if ABS must be together . How many arrangements are there of: a. 30 students in a classroom with 30 desks b. 17 students in a classroom with 25 desks c. 4 ski tows up the hill and 7 routes down the hill d. A room if the interior decorator has selected 18 carpet swatches, 25 wall patterns, and 7 paint hues How many 4 digit numbers can be made using 0-7 with no repeated digits allowed? As an anniversary gift a family with 4 children give their parents a photo montage containing 5 photo's - one family portrait and 1 of each of the children. a. In how many ways could the photos be hung in a row on the living room wall? b. If the family portrait must be in the middle, how many orders can the pictures be hung on the wall now