BdMO National 2018 Higher Secondary P3Nazia rolls four fair six-sided dice. She doesn’t see the results. Her friend Faria tells her that the product of the numbers is 144. Faria also says the sum of the dice, S satisfies 14≤S≤18 . Nazia tells Faria that S cannot be one of the numbers in the set {14,15,16,17,18} if the product is 144. Which number in the range {14,15,16,17,18} is an impossible value for S ? number theorycountingBdmoDice