Ask Question
1 September, 19:46

A study group is to be selected from 5 freshmen, 7 sophomores, and 4 juniors. a) If a study group is to consist of 2 freshmen, 3 sophomores, and 1 junior, how many different ways can the study group be selected? b) If a study group consisting of 6 students is selected, what is the probability that the group will consist of 2 freshmen, 3 sophomores, and 1 junior?

+2
Answers (1)
  1. 1 September, 21:28
    0
    175/1001

    Step-by-step explanation:

    (a.)

    Freshman: 5 Combination 2

    sophomores: 7 Combination 3

    Junior: 4 Combination 1

    The combination of three groups:

    =5c2 * 7c3 * 4c1

    =10 * 35 * 4

    =1400 ways

    (b.)

    =5+7+4=16

    =2+3+1

    Which is (16 combination 6)

    The probability will be:

    = (5c2 * 7c3 * 4c1) / 16c6

    =1400/8008

    =175/1001
Know the Answer?
Not Sure About the Answer?
Find an answer to your question ✅ “A study group is to be selected from 5 freshmen, 7 sophomores, and 4 juniors. a) If a study group is to consist of 2 freshmen, 3 ...” in 📘 Mathematics if you're in doubt about the correctness of the answers or there's no answer, then try to use the smart search and find answers to the similar questions.
Search for Other Answers