Fundamental Principle of Addition
Fundamental Principle of Addition
To find the total, number of ways in which either of the two jobs can be performed when both the jobs are mutually exclusive jobs the fundamental principle is followed. If the two jobs can be performed independently in m and n ways respectively, then either of the two jobs can be performed in ( m+ n) ways.
In case of two events X and Y. n(X) denotes the possible ways in which the event X can occurs n(Y) denotes the possible ways in which the event Y can occurs
Let Z be an event describing the situation in which either event X occurs, OR event Y occurs. Then, if n(Z) denotes the number of ways in which the event Z can occur or the number of possible outcomes of the event Z . It can be calculated using the Fundamental Principle of Addition and is given by:
n(Z) = n(X) + n(Y)
For example: To calculate the total number of possible outcomes when either a coin is tossed or a dice is thrown the Fundamental Principle of Addition can be used as follows
Job 1: When a dice is thrown the possible outcomes are n(dice)= 6
Job 2: When a coin is tossed the possible outcomes are n(coin)= 2
The total number of possible outcomes when either a coin is tossed or a dice is thrown can be calculated as
n(dice or coin) = n(dice) + n(coin) =6 + 2= 8
There are 8 toy cars and 5 dolls in a shop. In how many ways the shopkeeper will either sell a toy car or a doll? | |||
| Right Option : A | |||
| View Explanation | |||
In a book store there are 5 story books, 6 magazines and 2 English books . In how many ways the shopkeeper can give one of the three books to a child? | |||
| Right Option : B | |||
| View Explanation | |||
In a school there are 15 candidates for Science scholarship and 20 candidates for English scholarship. In how many ways either of these scholarships will be awarded? | |||
| Right Option : A | |||
| View Explanation | |||
Students / Parents Reviews [10]
Abhyas is a complete education Institute. Here extreme care is taken by teacher with the help of regular exam. Extra classes also conducted by the institute, if the student is weak.
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10thMy experience was very good with Abhyas academy. I am studying here from 6th class and I am satisfied by its results in my life. I improved a lot here ahead of school syllabus.
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8thMy experience with Abhyas is very good. I have learnt many things here like vedic maths and reasoning also. Teachers here first take our doubts and then there are assignments to verify our weak points.
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7thI have spent a wonderful time in Abhyas academy. It has made my reasoning more apt, English more stronger and Maths an interesting subject for me. It has given me a habbit of self studying
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10thIt was a good experience with Abhyas Academy. I even faced problems in starting but slowly and steadily overcomed. Especially reasoning classes helped me a lot.
