Question

. what is the number of ways in which 3 holiday travel tickets are to be given to 10 employees of an organization, if each employee is eligible for any one or more of the tickets ?

(a)60
(b)120
(c) 500
(d) 1000

Answer 1

The number of ways to give 3 holiday travel tickets to 10 employees is 120.

Step-by-step explanation:

The number of ways in which the 3 holiday travel tickets can be given to the 10 employees is determined by the concept of combinations. Each employee can be eligible for any one or more of the tickets.

Since there are 10 employees and only 3 tickets, this can be thought of as selecting 3 employees out of 10 without any regard for the order in which they are selected. This can be calculated using the formula for combinations:

C(n, r) = n! / ((n-r)! * r!)

where n is the total number of employees and r is the number of tickets.

Plugging in the values, we get:

C(10, 3) = 10! / ((10-3)! * 3!) = 10! / (7! * 3!) = (10 * 9 * 8) / (3 * 2 * 1) = 120

Therefore, the number of ways in which the 3 holiday travel tickets can be given to the 10 employees is 120.