Question

In how many ways 2 identical pens may be distributed among 4 students such that no student gets more than 2 pens?

Answer 1

plz ask questions correctly

Answer 2

Answer:

Concept:

The proportion of all conceivable outcomes to the number of outcomes in an exhaustive set of equally likely outcomes that result in a certain event.

Step-by-step explanation:

Given:

In how many ways 12 identical pens may be distributed among 4 students such that no student gets more than 2 pens?
Find:

In how many ways 12 identical pens may be distributed among 4 students such that no student gets more than 2 pens?
Solution: Since it is given that each of them should be getting 2 pens.

• Thus, firstly, we give 2 to each of them (Assuming all pens are identical).
• Now, these 2 students have 2 pens each.

• Remaining 8 pens ( 12 initial-4 distributed) can be distributed to these with the condition that any one of these can receive any number of pens ranging from 2 to10 , as they will always have at least 2 with them as asked in the questions.
• Let us now see the possible groups -

1. (3,9)
2. (2,10)
3. (4,8)
4. (5,7)
5. (6,6)
6. (7,5)
7. (8,4)
8. (9,3)
9. (10,2)

• Here are the 9 possibilities, so the answer is Nine(9)

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