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In how many ways can 5 letters be posted in 3 post boxes, if any number of letters can be posted in all of the three post boxes?
a. 5 C 3
b. 5 P 3
c. 53
d. 35
Read Solution (Total 10)
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- Three postboxes
Five Letters
The first letter can go into any of the three postboxes, so 3 ways
The second letter can go into any of the three postboxes again, so 3 ways again
Similarly the third, fourth and the fifth letters can go into any of the three boxes, in 3 ways each.
So answer = 3 x 3 x 3 x 3 = 3 power 5 - 9 years agoHelpfull: Yes(29) No(2)
- ANS IS:5P3
ARRANGEMENT OF THINGS IS PERMUTATION... - 9 years agoHelpfull: Yes(8) No(6)
- 3^5 is the correct answer
- 9 years agoHelpfull: Yes(4) No(0)
- 5P3= 60 ways
- 9 years agoHelpfull: Yes(3) No(6)
- options are 5^3,3^5.....not 53,35
The first letter can be posted in any of the 3 post boxes. Therefore, it has 3 choices.
Similarly, the second, the third, the fourth and the fifth letter can each be posted in any of the 3 post boxes.
Therefore, the total number of ways the 5 letters can be posted in 3 boxes is 3*3*3*3*3
= 3^5 - 9 years agoHelpfull: Yes(1) No(0)
- 5 letters in 3 post boxes can be done in 5C3 ways.
answer:
a. 5 C 3 - 9 years agoHelpfull: Yes(0) No(5)
- explain d correct1...
- 9 years agoHelpfull: Yes(0) No(0)
- what is correct solution plz explain
- 9 years agoHelpfull: Yes(0) No(0)
- The first letter can be posted in any of the 3 post boxes. Therefore, it has 3 choices.
Similarly, the second, the third, the fourth and the fifth letter can each be posted in any of the 3 post boxes.
Therefore, the total number of ways the 5 letters can be posted in 3 boxes is 3*3*3*3*3
= 35 - 9 years agoHelpfull: Yes(0) No(0)
- 5C3*3!=60,which is 5P3
- 9 years agoHelpfull: Yes(0) No(0)
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