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sarahmckee69
02.03.2020 •
Mathematics
How many ways can three items be selected from a group of six items? Use the letters A, B, C, D, E, and F to identify the items, and list each of the different combinations of three items. (Enter your answers as a comma-separated list. Enter three unspaced capital letters for each combination.)
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Ответ:
Three items can be selected from six items using combination formula C (n , k) = C (6 , 3) , in 20 ways
C (n, k) = n ! / (n - k) !
6 c 3 = 6 ! / 3 ! (6 - 3) !
= 6! / 3! 3!
= [ 6 x 5 x 4 x 3 x 2 x 1 ] / [ 3 x 2 x 1 x 3 x 2 x 1 ]
= 5 x 4
= 20 ways
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Ответ:
20 ways
Step-by-step explanation:
6C3 = 20
(A,B,C)
(A,B,D)
(A,B,E)
(A,B,F)
(A,C,D)
(A,C,E)
(A,C,F)
(A,D,E)
(A,D,F)
(A,E,F)
(B,C,D)
(B,C,E)
(B,C,F)
(B,D,E)
(B,D,F)
(B,E,F)
(C,D,E)
(C,D,F)
(C,E,F)
(D,E,F)
Ответ:
I got it. My ArtofFuz#0866