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1. A club has 25 members. i. Number of ways to choose four members of the club to serve on an executive committee? ii. Number of ways to choose a president, vice president, secretary, and treasurer of the club, where no person can hold more than one off$19.49
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1.A club has 25 members.How many ways are there to choose four members of the club to serve on an executive committee?
Exam (elaborations)
1. A club has 25 members. i. Number of ways to choose four members of the club to serve on an executive committee? ii. Number of ways to choose a president, vice president, secretary, and treasurer of the club, where no person can hold more than one off
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1.A club has 25 members.How many ways are there to choose four members of the club to serve on an executive committee?
Institution
University Of Lahore
1.A club has 25 members.How many ways are there to choose four members of the club to serve on an executive committee?How many ways are there to choose a president, vice president, secretary, and treasurer of the club, where no person can hold more than one office?
2.In how many different ways can...
2in how many different ways can five elements be selected in order from a set with three elements when repetition is allowed
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University of Lahore
1.A club has 25 members.How many ways are there to choose four members of the club to serve on an executive committee?
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Logic and permutation solutions
1. A club has 25 members.
i. Number of ways to choose four members of the club to serve on an executive
committee?
ii. Number of ways to choose a president, vice president, secretary, and treasurer of
the club, where no person can hold more than one office
Solution
i. It will be 25C4
or C(25,4)= 12650 ways
ii. P(25,4)
=25*24*23*22
=303600 ways
2. Ways five elements can be selected in order from a set with three elements when
repetition is allowed
Solution
Since each of the tasks can be completed in 3 different ways because we have 3 elements
to choose from, the total number of ways of selecting 5 elements will be
35=243
3. Probability that a fair die never comes up an even number when it is rolled six times
Solution
The probability that any given fair die roll appears up is ½ .
Since this rolls are independent, we have the probability of an odd showing up all 6 times
is ½6 =1/64
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