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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
Correct answer is option 'D'. Can you explain this answer?
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What is the number of ways in which 3 holiday travel tickets are to be...
No. of ways in which 3 holiday travel tickets are to be given to 10 employees = 103 = 1000 
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What is the number of ways in which 3 holiday travel tickets are to be...
Given that there are 10 employees and 3 holiday travel tickets to be distributed among them, we need to determine the number of ways this can be done. Each employee is eligible for any one or more of the tickets, which means that there are no restrictions on how many tickets each employee can receive.

To solve this problem, we can use the concept of combinations. The number of ways to distribute the tickets can be calculated using the formula for combinations, which is given by:

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

Where n is the total number of items to choose from and r is the number of items to be chosen.

Let's apply this formula to the given problem:

n = 10 (number of employees)
r = 3 (number of tickets)

C(10, 3) = 10! / (3! * (10-3)!)

Simplifying the expression:

C(10, 3) = 10! / (3! * 7!)

C(10, 3) = (10 * 9 * 8 * 7!) / (3! * 7!)

The factor of 7! cancels out:

C(10, 3) = (10 * 9 * 8) / (3 * 2 * 1)

C(10, 3) = 10 * 3 * 4

C(10, 3) = 120

Therefore, the number of ways in which the 3 holiday travel tickets can be given to the 10 employees is 120. Hence, option D is the correct answer.
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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)60b)120c)500d)1000Correct answer is option 'D'. Can you explain this answer?
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