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Assigning grades

mustish1
mustish1 asked
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Possible grades for a class are A, B, C, D and F.
How many ways r there to assign grades to a class of 7 students, if no body receives an F and exactly one person receives an A
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Commented:
I guess its a permutation cauz it says exactly one person receives A. So order matter
Neil RussellTechnical Development Lead
BRONZE EXPERT

Commented:
How about you at least TRY and do your own homework? Experts exchange is not a homework service, were here to HELP. Try, explain what you tried and THEN others will help you.....
Senior Developer
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Commented:
It is still a Combination and not Permutation. You know why? because some students can still get same grades except for grade A and F.

As defined in Mathematics definition:
--> If the order doesn't matter, it is a Combination.
--> If the order does matter it is a Permutation.

Hope it helps.

Author

Commented:
Its not a homework. I try it bymyself first than ask a question for suggestion
Armand GSenior Developer
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Commented:
And the most distinguishing part for the graded students: The ORDERING of the students having Grade A is not defined in any manner.
Armand GSenior Developer
BRONZE EXPERT

Commented:
COMBINATION! (No Repetition Type)
BRONZE EXPERT

Commented:
This is certainly a permutation problem:

   ABBBBBB    is not the same as   BBBABBB   or   BBBBBBA

But the answer is NOT going to be in the form   P(m, n).

Try to think logically, and restate the problem:

How many ways are there to distribute one A among seven students?
How many ways are there to distribute B's, C's, and D's to the other six?



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