Q1) The number of ways in which a 5 digit number which is divisible by 3 can be formed from the digits 0,1,2,3,4,6,7.

Q2) What are the number of ways of distributing 8 identical balls into 3 boxes, with each box containing at least 1 ball.

Q3) In image

Asked by aaryannagpal2003 | 2nd Oct, 2019, 06:52: PM

Expert Answer:

1) considering without repetition
digits 0,1,2,3,4,6,7
Following combination of numbers will work
1,3,4,7,0 → 4×4×3×2×1 = 96 ways
0,2,3,6,4 → 4×4×3×2×1 = 96 ways
1,3,4,7,6 → 5×4×3×2×1 = 120 ways
4,6,7,1,0 → 4×4×3×2×1 = 96 ways
6,3,7,2,0 → 4×4×3×2×1 = 96 ways
Adding we get 504 ways
 
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Answered by Arun | 3rd Oct, 2019, 04:15: PM

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