Ask Question
4 October, 21:08

A teacher has brought treats for her 10 students. She will give out 3 fruit snacks, 2 teddy grahams, and 5 granola bars. How many ways can she do this.

+5
Answers (1)
  1. 4 October, 21:17
    0
    2520 ways

    Step-by-step explanation:

    We can solve this problem with 3 combinations:

    First the teacher needs to give 3 fruit snacks to 10 students, so we have a combination of 10 choose 3: C (10,3) = 10! / (3! * 7!) = 120

    Then, she needs to give 2 teddy grahams to 7 students (3 already got a snack), so a combination of 7 choose 2: C (7,2) = 7! / (2! * 5!) = 21

    The, she gives the 5 granola bars to the other 5 students, so a combination of 5 choose 5: C (5,5) = 1.

    Now we just need to multiply the combinations to find the result:

    C (10,3) * C (7,2) * C (5,5) = 120 * 21 * 1 = 2520 ways
Know the Answer?
Not Sure About the Answer?
Find an answer to your question 👍 “A teacher has brought treats for her 10 students. She will give out 3 fruit snacks, 2 teddy grahams, and 5 granola bars. How many ways can ...” in 📗 Mathematics if the answers seem to be not correct or there’s no answer. Try a smart search to find answers to similar questions.
Search for Other Answers