How many ways can the letters of "collge" be arranged

COLLEGE is a 7 letter word.

here E and L will appear for two times so we will get denominator (2!*2!)

so,COLLEGE can be arranged in 7!/(1!*1!*2!*2!*1!)=1260

It is difficult to calculate the case when vowels don't come together so we will be going to calculate the opposite case when vowels do come together.

CLLG(OEE) =4+1 consider OEE as one letteer.

when vowels come together =(5!/2!)*(3!/2!)=180 (3!/2! is the arrangement of vowels total 3 vowels 3! and E repeats two times.)

vowels don't come together =1260-180=1080.

Hope this helps

COLLEGE is a 7 letter word.

here E and L will appear for two times so we will get denominator (2!*2!)

so,COLLEGE can be arranged in 7!/(1!*1!*2!*2!*1!)=1260

It is difficult to calculate the case when vowels don't come together so we will be going to calculate the opposite case when vowels do come together.

CLLG(OEE) =4+1 consider OEE as one letteer.

when vowels come together =(5!/2!)*(3!/2!)=180 (3!/2! is the arrangement of vowels total 3 vowels 3! and E repeats two times.)

vowels don't come together =1260-180=1080.

Step-by-step explanation:

hope this helps <3 <3 <3 Aaliyah

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

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