example

Parin Sir > example

Jun

☼ Random Experiment ( or trial ) : An experiment which can result in anyone of the several possible outcomes is called a random experiment or a trial.

e.g. (i) Tossing of a coin is a rando…

Posted in: Probability,

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Jun

Examples(2)

(4) In how many ways 7 persons stand in a row, if three particular persons do not stand together ?

Soln. 7 persons can stand in a row in 7 ! = 5040 ways ––––––––– ( 1 )

Three particular person …

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Jun

Examples

(1) Evaluate : $\frac{20!}{17!}$

Soln. We have, $\frac{20!}{17!... </p> <div class=$

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05

Jun

Combination
☼ COMBINATION : When we have to choose a certain number of objects from a given set of objects in such a way that the order of selection is not important, the selection is known as a combination. Consider the following example…

Posted in: Combination,

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04

Jun

Circular Permutation
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☼ Circular Permutation : The total number of circular permutations of n distinct objects taken all at a time =

Posted in: Circular Permutation,

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04

Jun

Permutations
☼ PERMUTATIONS :   In the above example, 2 objects were selected from 3 objects in such a way that the order of the arrangements is important.

Now, if there were n = 10 objects and r = 3 objects were to be selected, then we …

Posted in: Permutations,

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04

Jun

Definition of Fundamental principal of counting
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☼ Definition of Fundamental principal of counting :   If one operation can be performed in m ways and if corresponding to each of the m…

Posted in: Definition of Fundamental principal of counting,

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04

Jun

Permutation And Combination
☼ Factorials :   Permutation and Combination is a topic which requires use of the concept of factorials. A factorial is the number obtained by multiplying all the positive integers less than or equal to a given positive integer. T…

Posted in: Permutation And Combination,

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04

Jun

Examples
(1) In what proportion must rice at Rs. 12.50 per kg. be mixed with rice at Rs. 15.20 per kg., so that the mixture be worth Rs. 14.00 per kg. ?

Solution.

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03

Jun

ALLIGATION OR MIXTURE
☼ Alligations is the rule that helps us to find the amount in which two different quantities of a substance are mixed so as to arrive at average cost.

☼ If the gradients are mixed in some ratio, then

Posted in: ALLIGATION OR MIXTURE,

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