Fundamental Principle of Multiplication


 
 
Concept Explanation
 

Fundamental Principle of Multiplication

If there are two jobs such that one them can be completed in m ways and second  job can be completed in n ways, then the two jobs in succession can be completed in m X n ways. and the two jobs are independent of each other that is the occurrence of first job does not effect the occurrence of second job.

For example et us take the case of throwing a dice ad tossing a coin. As the two job are independent of each other because whatever is the outcome of first job that is throwing a dice will not effect the outcome of second job that is tossing a coin.

First job- Throwing a dice can be completed in 6 ways

Second job - Tossing a coin can be completed in 2 ways

Then the two jobs in succession can be completed in 6 X 2 = 12 ways

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Sample Questions
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Question : 1

There are 5 story books and 10 moral books in a book shop. In how many ways a student can buy a story book and a moral a book?

Right Option : C
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Question : 2

In a class there are 5 boys and 5 girls. The teacher wants to select a boy and a girl to represent the class in a function. In how many ways can the teacher make this selection ?

Right Option : B
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Question : 3

Which of the following statement is /are correct?

(a) There are 20 dancers and 8 non dancers . In 160 ways the choreographer can choose a dancer and a non dancer .

(b) In a bakery there are 5 cakes ,7 pastries and 4 swiss rolls . In 16 ways a customer can buy a cake , pastry and a swiss role .

Right Option : A
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