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Tamil Nadu Board of Secondary EducationHSC Science Class 11

A test consists of 10 multiple choice questions. In how many ways can the test be answered if the first four questions have three choices and the remaining have five choices?

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Question

A test consists of 10 multiple choice questions. In how many ways can the test be answered if the first four questions have three choices and the remaining have five choices?

Sum
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Solution

The first four questions have 3 choices.

So they can be answered in 34 ways.

The remaining 6 questions have 5 choices.

So they can be answered in 56 ways.

So all 10 questions can be answered in 34 × 56 ways.

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Chapter 4: Combinatorics and Mathematical Induction - Exercise 4.2 [Page 178]

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Samacheer Kalvi Mathematics - Volume 1 and 2 [English] Class 11 TN Board
Chapter 4 Combinatorics and Mathematical Induction
Exercise 4.2 | Q 5. (ii) | Page 178

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