Number of ways to divide n distinct objects into r distinct groups of sizes $$n_1, n_2, \dots, n_r$$ (where $$n_1 + n_2 + \dots + n_r = n$$):
$$ \binom{n}{n_1, n_2, \dots, n_r} = \frac{n!}{n_1! n_2! \dots n_r!} $$Sign in
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CAT Formulas
Permutations & Combinations
Division into Distinct Groups (Multinomial Coefficient)
Number of ways to divide n distinct objects into r distinct groups of sizes $$n_1, n_2, \dots, n_r$$ (where $$n_1 + n_2 + \dots + n_r = n$$):
$$ \binom{n}{n_1, n_2, \dots, n_r} = \frac{n!}{n_1! n_2! \dots n_r!} $$Start your IIM journey with the right preparation and crack CAT 2026.
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