q28B Consider a 48-ball lottery game. In total there are 48 balls numbered 1 through to 48 inclusive. Seven balls are drawn (chosen randomly), one at a time, without replacement (so that a ballcannot be chosen more than once). To win the grand prize, a lottery player must have the same numbers selected as those that are drawn. The order of the numbers is not important so that ifa lottery player has chosen the combination 1, 2, 3, 4, 5, 6 and 7, in order, the numbers 7, 5, 2, 4, 6, 3 and 1 are drawn, then the lottery player will win the grand prize (to be shared with othergrand prize winners). You can assume that each ball has exactly the same chance of being drawn as each of the others. (b) Consider the 48-ball lottery game described above. Recall that the order of the numbers chosen is not important and that each number can only be chosen once. In total, how manycombinations are there available that include the numbers 1, 2, 3 and 4 but NOT the numbers 5, 6 or 7?0101270046045010660014190

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(b) Consider the 48-ball lottery game described above. Recall that the order of the numbers chosen is not important and that each number can only be chosen once. In total, how many combinations are there available that include the numbers 1, 2, 3 and 4 but NOT the numbers 5, 6 or 7?