Find the value of the combination. 16c14 HELP
Mathematics · Middle School · Tue Nov 03 2020
Answered on
Given the Combination:
16c14
n = 16
r = 14
Formula for Combination:
C = n! / r! (n - r)!
Solution:
Substitute the given values of n and r to the formula.
C = 16! / 14! (16 - 14)!
This can be written in expanded form as,
C = ((16)(15)(14)(13)(12)(11)(10)(9)(8)(7)(6)(5)(4)(3)(2)(1))/((14)(13)(12)(11)(10)(9)(8)(7)(6)(5)(4)(3)(2)(1)) (2)(1)
14! cancels leaving behind,
C = (16)(15)/ (2)(1)
C= 240/2
C = 120
Final answer:
C =120