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The number of ways in which 3 prizes can be distributed to 4 children, so that no child gets all the three prizes, are
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The correct answer is:
60
Each of the three prizes can be given to any of the four children.
$\therefore$ Total number of ways of distributing prizes
$=4 \times 4 \times 4=64$
Number of ways in which one child gets all prizes $=4$
$\therefore$ Number of ways in which no child gets all the three prizes $=64-4=60$
$\therefore$ Total number of ways of distributing prizes
$=4 \times 4 \times 4=64$
Number of ways in which one child gets all prizes $=4$
$\therefore$ Number of ways in which no child gets all the three prizes $=64-4=60$
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