Ask Question
27 June, 21:15

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?

+3
Answers (1)
  1. 27 June, 21:46
    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?
Get 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 there is no answer or all answers are wrong, use a search bar and try to find the answer among similar questions.
Search for Other Answers