    # Five red marbles, 2 white marbles and 3 blue marbles are arranged in a row

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Solution

## The correct option is B: 280In 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.Có thể bạn quan tâmBản thường ngày 18 tháng 3 năm 2023Ngày 24 tháng 2 năm 2023 là ngày gìĐiều gì sẽ được phát trên sân khấu Broadway vào tháng 2 năm 2023?Lễ Tốt Nghiệp Texas A&M 2024Tuần trăng thứ mấy vào ngày 27 tháng 3 năm 2023? (adsbygoogle = window.adsbygoogle || []).push({}); Therefore the total number of arrangements of the marbles is =8!3!4!1!=8×7×6×5×4!3!×4!=8×7×5=280Hence, the total number of ways =280

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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

### What is the probability of 5 red marbles?

2 Answers By Expert Tutors So, since there are 5 Red marbles, the probability of drawing one is 5 / 8.

### How many ways can 2 blue marbles and four red marbles be arranged in a row?

Total no of ways=2! ×4! Hence, in 48 ways two blue marbles and four red marbles can be arranged in a row.

### How many ways can you arrange 2 blue marbles 4 red marbles and 5 green marbles marbles of the same color look identical?

Answer: 6 ways because 3×2=6. where the 3 is the number 2,4 and 5. and the 2 is where the each number repeated.

### How many ways can you order 3 blue marbles 4 red marbles and 5 green marbles marbles of the same color look identical?

There are 12 ways to pick the first non-green, 11 ways to pick the second, and 10 ways to pick the third. But there are 3 * 2 * 1 ways to pick the same three marbles in different orders. So 12 * 11 * 10 / (3 * 2 * 1) = 220 different combinations. 