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Question
Find the number of arranging 11 distinct objects taken 4 at a time so that a specified object never occurs
Solution
There are 11 distinct objects and 4 are to be taken at a time.
When one particular object will not occur then 4 object are to be arranged from 10 objects which can be done in 10P4 ways
= 10 × 9 × 8 × 7
= 5040
∴ In 5040 permutations of 11 distinct objects, taken 4 at a time, one particular object will never occur.
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