Question 6

b) The number of ways to choose 3 out of 7 different colors is (73) ( 37 ) . Sample Answers: Question 1: a) Prime factorization of 4242 is 2×3×72×3×7 . b) Prime factorization of 105105 is 3×5×73×5×7 . Question 2: a) False. All multiples of 88 are not necessarily divisible by 44 . b) True. If a number is divisible by both 66 and 99 , it's also divisible by 33 . Question 3: a) Probability of rolling a 66 on a fair six-sided die is 16 61 . b) Probability of drawing a red card from a standard deck of 5252 playing cards is 12 21 . Question 4: a) The number of permutations of arranging the letters in the word "MATHS" is 5!5! . b) The number of ways to choose 33 out of 77 different colors is (73) ( 37 ) .