Find the number of distinguishable permutations of the digits of the number 287,772

60

Step-by-step explanation:

Use r-combinations.

Treat it as though u are filling in 6 slots

_ _ _ _ _ _

1. First fill in the 7s, there are three of them and 6 ways to do so

so (6 Choose 3)

2. then fill in the 2s, now with the 3 slots taken up by the 7, 3 slots left.

So its (3 Choose 2).

3. and only 1 way to fill in the 8. (1 choose 1)

By multiplicative rule,

(6C3) * (3C2) * (1C1) = 60

1. 3.4/4

2. 0.8/7

3. 0.5 x 3

4. 0.9 x 6

5. 10.8

6. 2.35

7. 0.567

8. 9.35

9. 0.02

10. 0.06

11. 0.16

12. 0.42

13. 0.63

14. 5.6

15. 8.1

16. 9.9

17. 0.28

18. 0.48

19. 0.27

20. 0.49

21. 0.45

22. 0.72

23. 0.9

24. 0.88

25. 0.75

26. 0.16

27. 0.328

28. 0.495

29. 0.72

30. 1.068