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If 2 jobs. A and B can be done independently by m and n ways respectively then the number of ways by which job A and job B can be done? plz help me in understanding the above question with simple words as well as giving example |
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Answer» Answer: Fundamental Principle of Addition Step-by-step explanation: "If there are two jobs such that they can be performed independently in ‘m’ and ‘n’ ways RESPECTIVELY, then either of the two jobs can be performed in (m + n) ways." Example :- In her class of 10 girls and 8 boys, the teacher has to select either a girl OR a boy. In how many ways can she make her SELECTION? Here the teacher has to CHOOSE either a girl OR a boy (Only 1 student) For selecting a boy she has 8 options/ways OR that for a girl 10 options/ways. The first of these can be performed in 8 ways and the SECOND in 10 ways. Therefore, by fundamental principle of addition either of the two jobs can be performed in (8 + 10) ways. Hence the teacher can make the selection of a student in 18 ways. |
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