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Andru [333]
2 years ago
11

An art collection on auction consisted of 4 Dalis, 5 van Goghs, and 6 Picassos. Atthe auction were 5 art collectors. If a report

er noted only the number of Dalis, van Goghs, andPicassos acquired by each collector, how many different results could have been recorded if allof the works were sold?
Social Studies
1 answer:
Shalnov [3]2 years ago
8 0

Answer:

1852200

Explanation:

The number of ways in which all the works are sold = Number of ways of the selling of 4 Dalis × Number of ways of the selling of 5 van Goghs × Number of ways of the selling of 6 Picassos.

Also, number of ways in which n things can be distributed into k things are = ^{n+k-1}C_{k-1}

k = 5

Thus,

Number of ways = ^{4+5-1}C_{5-1}\times ^{5+5-1}C_{5-1}\times ^{6+5-1}C_{5-1} = ^{8}C_{4}\times ^{9}C_{4}\times ^{10}C_{4} = 1852200

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