there are 4 scholarships of unequal values. the number of ways they can be distributed among 10 students giving not more than one yo a student is..
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Step-by-step explanation:
There are 3 scholarships to be awarded between 17 candidates ξ no one candidate can get more than one scholarship.
The 1st scholarship can be given to any of the 17 candidates, So 17 choices.
⇒ The 2nd can be given to the remaining 16 candidates in
16
C
1
=16 ways.
Similarly the third in 15 ways.
⇒ Total =17×16×15=
17
P
3
Hence, the answer is
17
P
3
.
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