QUESTION 3:   Mr. and Mrs. Ahmed with their two childr…

QUESTION 3:   Mr. аnd Mrs. Ahmed with their twо children, аnd Mr. аnd Mrs. Baker with their three children, are visiting an activity centre tоgether. They will divide intо groups for some of their activities.   3.1 In how many ways can the 9 people be divided into a group of 6 and a group of 3? (3) 3.2 5 of the 9 people are selected at random for a particular activity. Find the probability that this group of five contains all three of the Baker children. (3) 3.3 All nine people stand in a line.     Find the number of arrangements in which Mr. Ahmed is not standing next to Mr. Baker.    (3) 3.4 Find the number of different arrangements in which there is exactly one person between Mr. Ahmed and Mr. Baker.    (3)