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Read the problem. Identify what you need to know. Then organize the data to solve the problem.
There are 10 sophomore, 8 junior, and 9 senior members in student council. Each member is assigned to help plan one school activity during the year. There are 4 sophomores working on the field day and 6 working on the pep rally. Of the juniors, 2 are working on the field day and 5 are working on the school dance. There are 2 seniors working on the pep rally. If each activity has a total of 9 students helping to plan it, what is the probability that a randomly selected student council member is a junior or is working on the field day?
F. 1/5
G. 4/18
H. 5/9
J. 2/3

Respuesta :

Using the combination formula, the committee can be selected in 1,211,760 ways.

What is the probability?

Probability refers to a possibility that deals with the occurrence of random events.

The probability of all the events occurring need to be 1.

Combination formula is the number of different combinations of x objects from a set of n elements.

In this problem:

There are 10 sophomore, 8 junior, and 9 senior members in student council.

They are independent, so we can just multiply them, thus;

T = 18!/ 2! 16! x 12!/ 2! 10! x 10!/ 3! 7!

T  = 1,211,760

Hence, The committee can be selected in 1,211,760 ways.

A similar problem is given at;

brainly.com/question/24650047

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