Please show the word process so I can learn how to do it Tha

Please show the word process so I can learn how to do it. Thank you so much!

22. Given a group of students: G=(Allen, Brenda, Chad, Dorothy, Eric) or G=(A, B, C, D, E), count the different ways of choosing the following officers or representatives for student congress. Assume that no one can hold more than one office. A treasurer and a secretary if two must not be the same sex.

A) 6       B) 12             C) 3        D) 10

23. Find the probability. If 81% of scheduled fights actually take place and cancellations are independent events, what is the probability that 3 separate flights will all take place?

A) 0.81          B) 0.53          C) 0.01          D) 0.66

26. In one town, 73% of adults have health insurance, what is the probability that 9 adults selected at random the town all have health insurance?

A) 6.57                 B) 0.059        C) 0.123        D) 0.73

Solution

22. There are 3 men to fill the second slot, then 3 - 1 = 2 men to fill the next slot.

Then permutations possible = 3*2 = 6 (BAC, BCA, BAE, BEA, BCE and BEC)

and with changing the order possible matters = DAC, DCA, DAE, DEA, DCE and DEC

then total number of ways = 6 + 6 = 12

23 . Successive Probability that 3 separate flights = (0.81)*(0.81)*(0.81) = 0.53 = 53%

24. Probability that 9 adults selected = (73%)⁹ = (0.73)⁹ = 0.0588 = 0.059