A civil air patrol unit of fifteen members includes two two officers. in how many ways can four members be selected for a search and rescue mission such that at least one officer is included?

Question

Biology

Jade Ho

16 February, 22:55

A civil air patrol unit of fifteen members includes two two officers. in how many ways can four members be selected for a search and rescue mission such that at least one officer is included?

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Answers (1)

Know the Answer?

Wong · Answer 1

Answer: 1365 ways

Explanation: this is a combination questions

n = 15

r = 4

Solution

15C⁴

= n! / r! (n-r) !

= 15! / 4! (15-4) !

= 15! / 4! (11) !

= 1.308 * 10¹² / 24 (39916800)

= 1365 ways