Answered

24. If N=13 and n=5, how many combination can be made?a. 1287b. 1278c. 1300d. 1387 ​.

Sagot :

Shafedjavierviz

Answer:

A. 1287

Step-by-step explanation:

nCr= n!/[(n-r)!(r!)]

13C5= 13!/[(13-5)!(5!)]

13C5=13!/[(8)!(5!)]

13C5=13!/[(8!)(5!)]

13C5=[(13)(12)(11)(10)(9)(8!)]/[(8!)(5!)]

Cross out both 8! which leaves you to,

13C5=[(13)(12)(11)(10)(9)]/[5!]

13C5=[(13)(12)(11)(10)(9)]/[(5)(4)(3)(2)(1)]

13C5=154440/120

13C5=1287