Therefore, by fundamental principle of addition either of the two jobs can be performed in (8 + 10) ways. The first of these can be performed in 8 ways and the second in 10 ways. Here the teacher has to choose either a girl OR a boy (Only 1 student)įor selecting a boy she has 8 options/ways OR that for a girl 10 options/ways. In how many ways can she make her selection? "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."Įxample :- In her class of 10 girls and 8 boys, the teacher has to select either a girl OR a boy. Remark :- The above principle can be extended for any finite number of jobs. Here the teacher has to choose the pair of a girl AND a boyįor selecting a boy she has 8 options/ways AND that for a girl 10 options/waysįor 1st boy - any one of the 10 girls - 10 waysįor 2nd boy - any one of the 10 girls - 10 waysįor 3rd boy - any one of the 10 girls - 10 waysįor 8th boy - any one of the 10 girls - 10 ways "If there are two jobs such that one of them can be completed in ‘m’ ways, and another one in ‘n’ ways then the two jobs in succession can be done in ‘m X n’ ways."Įxample :- In her class of 10 girls and 8 boys, the teacher has to select 1 girl AND 1 boy. In fact these two principles form the base of Permutations and Combinations. These two principles will enable us to understand Permutations and Combinations. ![]() principle of addition and principle of multiplication. Here we shall discuss two fundamental principles viz.
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