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Number of ways in which 9 different toys be distributed among 4 children belonging to different age groups in such a way that distribution among the 3 elder children is even and the youngest one is to receive one toy more, is

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Important Questions on Permutation and Combination

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Beta Question Bank for Engineering: Mathematics>Chapter 9 - Permutation and Combination>EXERCISE-1>Q 13
The number of ways of arranging the letters AAAAA, BBB, CCC, D, EE and F in a row if no two ‘C’s are together :
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Beta Question Bank for Engineering: Mathematics>Chapter 9 - Permutation and Combination>EXERCISE-1>Q 14
Number of numbers greater than a million and divisible by 5 which can be formed by using only the digits 1, 2, 1, 2, 0, 5 & 2 is -
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Beta Question Bank for Engineering: Mathematics>Chapter 9 - Permutation and Combination>EXERCISE-1>Q 15
The maximum number of different permutations of 4 letters of the word "EARTHQUAKE" is -
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Beta Question Bank for Engineering: Mathematics>Chapter 9 - Permutation and Combination>EXERCISE-1>Q 16
The number of ways in which we can arrange n ladies & n gentlemen at a round table so that 2 ladies or 2 gentlemen may not sit next to one another is -
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Beta Question Bank for Engineering: Mathematics>Chapter 9 - Permutation and Combination>EXERCISE-1>Q 17
The number of proper divisors of apbqcrds where a, b, c, d are primes & p, q, r, s∈N is -
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Beta Question Bank for Engineering: Mathematics>Chapter 9 - Permutation and Combination>EXERCISE-1>Q 18
The sum of all numbers greater than 1000 formed by using the digits 1, 3, 5, 7 such that no digit is being repeated in any number is -
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Beta Question Bank for Engineering: Mathematics>Chapter 9 - Permutation and Combination>EXERCISE-1>Q 19
The number of ways in which 10 identical apples can be distributed among 6 children so that each child receives atleast one apple is:
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Beta Question Bank for Engineering: Mathematics>Chapter 9 - Permutation and Combination>EXERCISE-1>Q 20
Number of ways in which 25 identical pens can be distributed among Keshav, Madhav, Mukund and Radhika such that at least 1, 2, 3 & 4 pens are given to Keshav, Madhav, Mukund and Radhika respectively, is -