Solve the problem There are 8 members on a board of director

Solve the problem. There are 8 members on a board of directors. If they must form a subcommittee of 6 members, how many different subcommittees are possible? A state lottery involves the random selection of six different numbers between 1 and 31. If you select one six number combination, what is the probability that it will be the winning combination? The organizer of a television show must select 5 people to participate in the show. The participants will be selected from a list of 30 people who have written in to the show. If the participants are selected randomly, what is the probability that the 5 youngest people will be selected?

Solution

.Q44.

Number of Board directors are 8
And they must form a subcommittee of 6 members, We need to select group of six members from the avalible 8 directors

Possible diffrent subcommittees are = 8 C 6 = nCr(8,6) = 28

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