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On how many nights may a watch of 4 men be arranged by a security agency from a crew of 16 so that no two watches are identical? On how many of these nights would a particular person be off-duty?

On how many nights may a watch of 4 men be arranged by a security agency from a crew of 16 so that no two watches are identical? On how many of these nights would a particular person be off-duty?

Grade:11

1 Answers

Arun
25763 Points
3 years ago
 

Dear Sarthak

the number of ways in 16C4  = 1820 .

When a perticular man is to be always included then we need to select 3 men out of 23.so total ways = 15C3 = 455

 

 

Regards

Arun (askIITians forum expert)

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