You visited us 1 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Standard XII

Mathematics

Fundamental Principle of Counting

Let m denote ...

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

No worries! We‘ve got your back. Try BYJU‘S free classes today!

n = 4 m

No worries! We‘ve got your back. Try BYJU‘S free classes today!

m = 24 n

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

N o n e

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is C $m = 24 n$
$m = 10 C_{4} * 4!$

and

$n = 10 C_{4}$

So $m = n * 4!$

$= n * 24$

Suggest Corrections

Similar questions

Q. Find the number of ways

10

apples,

5

oranges and

5

mangoes can be distributed among three persons,each receiving none, one or more.Assume that the fruits of the same species are all alike.

Q. Let

m

denote the number of ways in which four different balls of green colour and four different balls of red colour can be distributed equally among

4

persons if each person has balls of the same colour and

n

be the corresponding figure when all the four persons have balls of different colour. Then the value of

m + n

Q. Let

m

denote the number of ways in which four different balls of green colour and four different balls of red colour can be distributed equally among

4

persons if each person has balls of the same colour and

n

be the corresponding figure when all the four persons have balls of different colour. Then the value of

m + n

Q. The number of ways in which

5

different books can be distributed among

10

people if each person can get atmost one book is

The combination coefficient ^{$^{n - 1} C_{m}$}denotes -

(a) The number of ways in which n things of which m are alike and rest different can arrange in a circle.

(b) The number of ways in which m different things can be selected out of n different thing if a particular thing is always excluded.

(c) Number of ways in which n different balls can be distributed in m different boxes so that no box remains empty and each box can hold any number of balls.

Join BYJU'S Learning Program

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?

The correct option is C m=24nm=10C4∗4! andn=10C4So m=n∗4!=n∗24

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?

The correct option is C $m = 24 n$
$m = 10 C_{4} * 4!$

and

$n = 10 C_{4}$

So $m = n * 4!$

$= n * 24$