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Inserting n Harmonic Means between two quantities
To insert n Harmonic Means between two given quantities - Let a and b be two given quantities. It is required to insert n harmonic means h 1 , h 2 , h 3 ,....h n between the quantities a and b. Let d = common difference of the A.P. Hence h 1 , h 2..
To find the harmonic mean between two given quantities
Let H be the harmonic mean between the quantities a and b. ..
Question 2
Question: A sportsteam of 11 students is to be constituted choosing at least 5 from class XI and 5 at least from XII. If there are 20 students in each of these classes, in how many ways can the team be constituted? Answer: Number of students in each class i..
Question 2
Question: vi) (n! + 1) is not divisible by any natural number between 2 and n. vii) Simplify Answer: ..
Example 2:
How many numbers are there between 100 and 1000 such that every digit is either 2 or ..
Note 2:
From the definition, it is clear that if B is the inverse of A, then A is the inverse of ..
Addition Principle:
If two events E 1 and E 2 can occur independently in exactly m ways and n ways respectively, then either of the two events can occur in (m + n) way..
Suggested answer:
The arrangement is as shown in the figure, the boy X will have B 2 , B 3 as neighbours. The girl Y will have G 2 , G 3 as neighbours. The two boys B 2 , B 3 can be arranged in two ways. The two girls G 2 , G 3 can be arran..
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