2. Winning the jackpot in a particular lottery requires that you select the correct three numbers between 1 and 28 and, in a separate drawing, you must also select the correct single number between 1 and 32. Find the probability of winning the jackpot.
3. Winning the jackpot in a particular lottery requires that you select the correct five numbers between 1 and 40 and, in a separate drawing, you must also select the correct single number between 1 and 46. Find the probability of winning the jackpot.
The probability of winning the jackpot is (Type an integer or simplified fraction.)
4. A corporation must appoint a president, chief executive officer (CEO), chief operating officer (COO), and chief financial officer (CFO). It must also appoint a planning committee with four different members. There are 13 qualifiedcandidates, and officers can also serve on the committee. Complete parts (a) through (c) below.
a. How many different ways can the officers be appointed?
There are_different ways to appoint the officers.
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