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Need help in permutation and combination questions


cishwarya

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Can somebody help me to solve the below questions in permutation and combination?

 

Q1. A question paper has 6 multiple choice questions.First 3 questions have 4 options each, and next 3 questions have 5 options each. Only one option can be selected for any question. In how many ways can a person answer the question paper if:

 

a.The person has to answer first 2 questions and remaining he can choose not to answer

 

Q2.In how many ways can 4 different colored letters (red,blue,green and yellow) be put into 4 different envelopes(red,blue,green and yellow) so that atleast 1 letter does not go into same colored envelope? Given that one envelope can contain only one letter.

 

Thanks in advance

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