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Rituparna 05 Nov in  Class XI-XII Tuition (PUC), Mathematics(Class XI-XII Tuition (PUC)), Permutation and Combinations

How many 3-digit numbers can be formed from the digits 2, 3, 5, 6, 7, 9 which are divisible by 5 and none of the digits is repeated?

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Tapas replied | 2 days ago

For all the numbers the last digit must be 5. So, the 1st, and the 2nd places are occupied by 2, 3, 6, 7, and 9 without any repetition. So, this can be done by taking 2 digits at a time from the above 6 digits.
The number of ways this can be done is 6P2 = !6/!(6-2) = !6/!4 = (6x5x4x3x2x1)/(4x3x2x1) = 6x5 = 30. (Answer)

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Abhinav 05 Nov in  Class XI-XII Tuition (PUC), Mathematics(Class XI-XII Tuition (PUC)), Permutation and Combinations

Find out the number of ways in which 6 rings of different types can be worn in 3 fingers?

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Anil replied | 5 days ago

Each ring has a choice of 3 fingers, so no of ways =3^6. There are no restrictions.

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Sanjeev replied | 4 days ago

6C3*3! = 60.

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Answer

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Sriram 05 Nov in  Class XI-XII Tuition (PUC), Mathematics(Class XI-XII Tuition (PUC)), Permutation and Combinations

Solve: (9) P (3)?

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Sarvajeet Kumar replied | 3 days ago

504.

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Answer

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Nageswara 05 Nov in  Class XI-XII Tuition (PUC), Mathematics(Class XI-XII Tuition (PUC)), Permutation and Combinations

How many words can be formed by using all letters of the word ‘BIHAR’?

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Tapas replied | 28 Nov

Here, all the letters are different and there are 5 letters. So, the number of words = 5! = 120.

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Answer

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Raja 05 Nov in  Class XI-XII Tuition (PUC), Mathematics(Class XI-XII Tuition (PUC)), Permutation and Combinations

What is value of (100) P (2)?

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Sreedevi replied | 5 days ago

(100)! / 98!

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Chandramami 05 Nov in  Class XI-XII Tuition (PUC), Mathematics(Class XI-XII Tuition (PUC)), Permutation and Combinations

What is the difference between permutation and combination?

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Sreedevi replied | 4 days ago

Permutation involves selection and arrangement where as Combination involves only selection.

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Rakes 05 Nov in  Class XI-XII Tuition (PUC), Mathematics(Class XI-XII Tuition (PUC)), Permutation and Combinations

Solve: 5! ?

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Eti replied | 19 Nov

120

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Richa replied | 20 Nov

5*4*3*2*1=120

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Abishiek 05 Nov 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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Answer

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Anmol 05 Nov 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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Answer

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Shashikant 05 Nov 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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Answer

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Aamir 05 Nov 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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Answer

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Swapna 05 Nov 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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Answer

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Nayan 05 Nov 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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Answer

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Vishwa Nath 05 Nov 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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Answer

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Nishit 05 Nov 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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Answer

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Md 05 Nov 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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Abhishek 05 Nov 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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Answer

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Pavan 05 Nov 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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Answer

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Ganesh 05 Nov 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 Nov 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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Answer

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

Solve: 4! + 6! ?

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Answer

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