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Amanbir 04/11/2016 in  Class XI-XII Tuition (PUC), Mathematics(Class XI-XII Tuition (PUC)), Mathematical Induction

Prove that [(3) power n] > (square of n) for n = 1, n = 2 and use the mathematical induction to prove that [(3) power n] > [square of (n)] positive integer greater than 2?

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Prasenjit 04/11/2016 in  Class XI-XII Tuition (PUC), Mathematics(Class XI-XII Tuition (PUC)), Mathematical Induction

Prove that n ! > [(2) power n] for n a positive integer greater than or equal to 4?

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Rakesh 04/11/2016 in  Class XI-XII Tuition (PUC), Mathematics(Class XI-XII Tuition (PUC)), Mathematical Induction

What do you mean by De Moivre’s Theorem?

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Satpal 04/11/2016 in  Class XI-XII Tuition (PUC), Mathematics(Class XI-XII Tuition (PUC)), Mathematical Induction

Use mathematical induction to prove De Moivre’s Theorem:
{[R (cos t + i sin t)] power n} = [(R) power n](cos nt + i sin nt) for n a positive integer?

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A

Aamir 04/11/2016 in  Class XI-XII Tuition (PUC), Mathematics(Class XI-XII Tuition (PUC)), Mathematical Induction

Prove:1 + 3 + [square of (3)] + …… + 3 [power (n - 1)] = [3 (power n) - 1] / 2?

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Vijay 04/11/2016 in  Class XI-XII Tuition (PUC), Mathematics(Class XI-XII Tuition (PUC)), Mathematical Induction

Define mathematical induction?

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Kevin 04/11/2016 in  Class XI-XII Tuition (PUC), Mathematics(Class XI-XII Tuition (PUC)), Mathematical Induction

What is the general equation of mathematical induction?

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S

Sheekha 05/11/2016 in  Class XI-XII Tuition (PUC), Mathematics(Class XI-XII Tuition (PUC)), Permutation and Combinations

Out of 7 consonants and 4 vowels, how many words of 3 consonants and 2 vowels can be formed?

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A

Abishiek 05/11/2016 in  Class XI-XII Tuition (PUC), Mathematics(Class XI-XII Tuition (PUC)), Permutation and Combinations

In a group of 6 boys and 4 girls, four children are to be selected. In how many different ways can they be selected such that at least one boy should be there?

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A

Anmol 05/11/2016 in  Class XI-XII Tuition (PUC), Mathematics(Class XI-XII Tuition (PUC)), Permutation and Combinations

From a group of 7 men and 6 women, five persons are to be selected to form a committee so that at least 3 men are there in the committee. In how many ways can it be done?

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S

Shashikant 05/11/2016 in  Class XI-XII Tuition (PUC), Mathematics(Class XI-XII Tuition (PUC)), Permutation and Combinations

In how many different ways can be the letters of the word ‘CORPORATION’ be arranged so that the vowels always come together?

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A

Aamir 05/11/2016 in  Class XI-XII Tuition (PUC), Mathematics(Class XI-XII Tuition (PUC)), Permutation and Combinations

In how many different ways can the letters of the word ‘MATHEMATICS’ be arranged such that the vowels must always come together?

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S

Swapna 05/11/2016 in  Class XI-XII Tuition (PUC), Mathematics(Class XI-XII Tuition (PUC)), Permutation and Combinations

There are 8 men and 10 women and you be need to form a committee of 5 men and 6 women. In how many ways can the committee be formed?

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D

Deepak 05/11/2016 in  Class XI-XII Tuition (PUC), Mathematics(Class XI-XII Tuition (PUC)), Permutation and Combinations

In how many different ways can the letters of the word ‘ LEADING’ be arranged such that the vowels should always come together?

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Answer

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M

Mohammad 05/11/2016 in  Class XI-XII Tuition (PUC), Mathematics(Class XI-XII Tuition (PUC)), Permutation and Combinations

A coin is tossed 3 times. Find out the number of possible outcomes?

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Nayan 05/11/2016 in  Class XI-XII Tuition (PUC), Mathematics(Class XI-XII Tuition (PUC)), Permutation and Combinations

In how many different ways can the letters of the word ‘OPTICAL’ be arranged so that the vowels always come together?

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S

Shashikant 05/11/2016 in  Class XI-XII Tuition (PUC), Mathematics(Class XI-XII Tuition (PUC)), Permutation and Combinations

In how many ways can a group of 5 men and 2 women be made out of a total of 7 men and 3 women?

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Answer

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Vishwa Nath 05/11/2016 in  Class XI-XII Tuition (PUC), Mathematics(Class XI-XII Tuition (PUC)), Permutation and Combinations

A bag contains 2 white balls, 3 black balls and 4 red balls. In how many ways can 3 balls be drawn from the bag, if at least one black ball is to be included in the draw?

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Nishit 05/11/2016 in  Class XI-XII Tuition (PUC), Mathematics(Class XI-XII Tuition (PUC)), Permutation and Combinations

There are 6 periods in each working day of a school. In how many ways can one organize 5 subjects such that each subject is allowed at least one period?

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Md 05/11/2016 in  Class XI-XII Tuition (PUC), Mathematics(Class XI-XII Tuition (PUC)), Permutation and Combinations

An event manager has ten patterns of chair and eight patterns of tables. In how many ways can he make a pair of table and chair?

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Answer

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A

Abhishek 05/11/2016 in  Class XI-XII Tuition (PUC), Mathematics(Class XI-XII Tuition (PUC)), Permutation and Combinations

How many 6 digit telephone numbers can be formed if each number starts with 35 and no digit appears more than once?

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Pavan 05/11/2016 in  Class XI-XII Tuition (PUC), Mathematics(Class XI-XII Tuition (PUC)), Permutation and Combinations

A box contains 4 red, 3 white and 2 blue balls. Three balls are drawn at random. Find out the number of ways of selecting the balls of different colours?

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Ganesh 05/11/2016 in  Class XI-XII Tuition (PUC), Mathematics(Class XI-XII Tuition (PUC)), Permutation and Combinations

In how many different ways can 5 girls and 5 boys from a circle such that the boys and the girls alternate?

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Answer

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Vivekchettri 05/11/2016 in  Class XI-XII Tuition (PUC), Mathematics(Class XI-XII Tuition (PUC)), Permutation and Combinations

In how many ways can 5 run draw water from 5 taps if no tap can be used more than once?

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Manoj 05/11/2016 in  Class XI-XII Tuition (PUC), Mathematics(Class XI-XII Tuition (PUC)), Permutation and Combinations

Solve: 4! + 6! ?

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