QUESTION 2 A list of English words of different letter length are given below and each word is designated by a dice number. Roll a dice to select one word to answer the questions below: (1) contradistinction (2) electrophotography (3) indistinguishable (4) telecommunication (5) overproportionately (6) characteristicallya. State the number of possible permutations for the selected word based on the following conditions: i. There are no restrictions [1 mark] ii. The vowels are always together. [2 marks] iii. Distinct arrangements. [2 marks] b. State the number of possible combinations a ve letter word were to be made from the selected word. [1 mark] c. State the number of possible combination a six letter word with two vowels included is made from the selected word. [2 marks] QUESTION 1 The following questions involves a Mahjong set containing 136 tiles with the following tiles below: 7 (Tongzi) Tiles (4 for each) #7 (Suozi) Tiles (4 for each) #7 (Wanzi) Tiles (4 for each) Ed t (Feng) Tiles (4 for each) Ex (Sanyuan) Tiles (4 for each) From the Mahjong set, 13 Tiles are drawn with no replacements to form this set of tiles that is one step from winning: i. Assuming the 13 tiles are drawn from left to right, calculate the probability to obtain this set in fraction format. Decimal format is not accepted. [4 marks] ii. Calculate the probability of drawing the winning tile for the set above. [2 marks]