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The number of ways that n objects can be labeled with k different labels, with n1 of the first type, n2 of the second type, and so on, with n1 + n2 + … + nk = n,

$$n!\over n1!n2!…nk!$$

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Question

The number of ways that n objects can be labeled with k different labels, with n1 of the first type, n2 of the second type, and so on, with n1 + n2 + … + nk = n,

?

Tags
Question

The number of ways that n objects can be labeled with k different labels, with n1 of the first type, n2 of the second type, and so on, with n1 + n2 + … + nk = n,

$$n!\over n1!n2!…nk!$$

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Multinomial Formula (General Formula for Labeling Problems). The number of ways that n objects can be labeled with kdifferent labels, with n 1 of the first type, n 2 of the second type, and so on, with n 1 + n 2 + … + n k = n, is given by $$n!\over n1!n2!…nk!$$

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