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Solution
The correct option is B: 280
In this case we have to arrange 8 marbles out of which 3 are of one kind, 4 of second kind, and 1 of the third kind.
Therefore the total number of arrangements of the marbles is
=8!3!4!1!=8×7×6×5×4!3!×4!
=8×7×5
=280
Hence, the total number of ways =280
Solve
Question Papers
Step-by-step explanation:
All 12 marbles can be arranged [permuted] in 12! ways. Many of these arrangements are identical because same colored marbles are indistinguishable from one another. In order to arrive at only those permutations that are distinct, division is required by each permutation relative to blue, green and white marbles, which are 5!, 4! and 3!, respectively. Thus the number of distinct permutations of these 12 marbles = 12!/[5!][4!][3!] = 27,720
Yung sa explanation kasi inexample nya lang yung 5,4,3 marbles then pag in-add mo yung tatlo [5+4+3=12 marbles] pero magkaiba yung 5,4,3 ng colors...sabi kasi sa explanation iddivide... so ganuto yung format:
12! / [5!][4!][3!]. = 479,001,600 / [120[24][6]. = 479,001,600 / 17,280 == 27,720[final answer] yung sign na to[ / ] means divide
Palitan nyo nalang yung nasa explanation na [5,4,3,] ng [5,8,7] ipagadd nyo tas sundin nyo lang den yung format gaya ng nasa explanation kow. Sana nakatulong[^-^]v