The number of ways in which n different prizes can be distributed among m(< n) persons if each is entitled to receive at most n 1 prizes, is

n^{n} - n

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m^{n}

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None of these

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Solution

The correct option is D None of these
Number of ways in which n different prizes can be distributed among m(< n) persons if each is entitled to receive at most 1 prizes= Number of ways to choose m things out of n things without replacement=
${m_{C}}_{n}$

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The number of ways in which n different prizes can be distributed among m(< n) persons if each is entitled to receive at most n 1 prizes, is

The correct option is D None of theseNumber of ways in which n different prizes can be distributed among m(< n) persons if each is entitled to receive at most 1 prizes= Number of ways to choose m things out of n things without replacement=mCn

The correct option is D None of these
Number of ways in which n different prizes can be distributed among m(< n) persons if each is entitled to receive at most 1 prizes= Number of ways to choose m things out of n things without replacement=
${m_{C}}_{n}$