Question

There are 10 vacant positions in the central cabinet of ministers. There is a total of 350 MPs in the ruling party. A cabinet post can be given to any of these MPs and an MP can take more than one cabinet position. In how many ways can the 10 vacant positions be filled? {SOLVE IT BY PERMUTATION AND COMBINATION}

Answer 1

Answer:

There are 10 vacant positions in the central cabinet of ministers.

Answer 2

Given : There are 10 vacant positions in the central cabinet of ministers. There is a total of 350  MPs in the ruling party

A cabinet post can be given to any of these MPs and an MP can take

more than one cabinet position.

To Find : In how many ways can the 10 vacant positions be filled

Solution:

As 1 MP can get more than a cabinet

Hence

Each  vacant positions  can be allotted  to any of 350 MPs

Each  vacant positions can be filled in 350 ways

Number of Ways  = 350¹⁰

350¹⁰ ways  10 vacant positions be filled

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