User

HappyRanger

Asked

Question

Let m denote the number of ways in which $4$ different books are distributed among $10$ persons, each receiving none or one only and let n denote the number of ways of distribution if the books are all alike. Then?
$m = 4 n$
$n = 4 m$
$m = 24 n$
$N o n e$

A

n = 4 m

B

m = 4 n

C

m = 24 n

D

N o n e

User

QuickExplorer

Nov. 22, 2024, 12:03 p.m.

$m = 10 C_{4} * 4!$

and

$n = 10 C_{4}$

So $m = n * 4!$

$= n * 24$

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