Question

In how many ways can 6 lottery tickets be distributed among 4 different people, if all of the four different people can get any number of tickets?

Answer 1

Answer:

6 lottery tickets can be distributed among 4 different people in 15 ways

Step-by-step explanation:

Given : Total no. of tickets = 6

To Find :In how many ways can 6 lottery tickets be distributed among 4 different people, if all of the four different people can get any number of tickets?

Solution:

We will use combination over here

Formula : $^nC_r=\frac{n!}{r!(n-r)!}$

Substitute n = 6

r = 4

$^6C_4=\frac{6!}{4!(6-4)!}$

$^6C_4=\frac{6 \times 5 \times 4!}{4!2!}$

$^6C_4=\frac{6 \times 5 }{2 \times 1}$

$^6C_4=15$

Hence  6 lottery tickets can be distributed among 4 different people in 15 ways