How many times each of the prizes listed below will be given to a group of 7 employees: first and second for dancing, first and second for singing, first in the debate, and first in mimicry?
72360
86436
91356
63436
Given that,
There are 7 employees in a company.
The first prize for dancing can be given in 7 ways.
The first prize for singing can be given in 7 ways.
The first prize for debate can be given in 7 ways.
The first prize for mimicry can be given in 7ways.
There are 4 first prizes which can be given in ways.
Thus,
Since an employee cannot get the first and second prize together, the second prize is given in ways.
Thus,
So, the total number of required ways is given by,
Therefore, the required number of ways is 86436.
Study 40% syllabus and score up to 100% marks in JEE