## johnny5520 3 years ago A dice is rolled 6 times. The probability that two different numbers will turn up three times each is: . (Write your answer in the form 0.xxxx, rounded up to the 4th digit.)

1. johnny5520

0.006? 6C2 * (6!/3!*3!)/6^6

2. harshit.94

elucidate on how u got this. what first jumpred to my mind was 6c2*6c6/6^6

3. shaan_iitk

Hi Johnny .. this would be (6c2 * 6!/(3!*3!))/6^6

4. johnny5520

hey shaan, can you help me check the rest?

5. johnny5520

ill just post it here?

6. shaan_iitk

kk ..shoot

7. johnny5520

ill repost here?

8. johnny5520

One is looking to invest 20 thousand dollars among 4 opportunities. Each investment should be an integral in units of 1 thousand dollars. A portfolio corresponds to an investment policy. For example, (5,6,3,6) is a portfolio that invests 5 thousand dollars in the first opportunity, 6 thousand in the second, 3 thousand in the third, and 6 thousand in the fourth. (0,9,8,3) is another portfolio in which no investment is made in the first opportunity. The total number of portfolios is: