An art collection on auction consisted of 4 dalis, 5 van goghs, and 6 picassos. atthe auction were 5 art collectors. if a reporter 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?

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 =

k = 5

Thus,

Number of ways = = = 1852200

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