Mrs. Smith has a bank of 40 questions to use

widdonod1t

widdonod1t

Answered question

2021-12-12

Mrs. Smith has a bank of 40 questions to use for the Foundations of Algebra exam. How many different final exams of 35 problems can she form (assuming the order of the questions does not matter)?

Answer & Explanation

Dawn Neal

Dawn Neal

Beginner2021-12-13Added 35 answers

Step 1
She has a bank of 40 questions out of which she has to choose 35 questions to make the final exams.
Also, the order of the Questions do not matter.
So, she can select 35 questions out of 40 questions in {40}C35 ways
Now, {40}C35=40×39×38×37×36=658,008
So, she can form the final exams in 658008 ways
Bukvald5z

Bukvald5z

Beginner2021-12-14Added 33 answers

Step 1
She has 40 questions, of which she has to choose 35 for the final exams.
So,
{40}C35=23×32×13×19×37
=658008
Answer: she can shape final exams 658008 ways

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