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A box contains 6 balls which may be all of different colours or three each of two colours or two each of three different colours. The number of ways of selecting 3 balls from the box (if ball of same colour are identical) is

Important Questions on Permutation and Combination

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Alpha Question Bank for Engineering: Mathematics>Chapter 8 - Permutation and Combination>Exercise-2>Q 34
Five friends F1, F2, F3, F4, F5 book five seats C1, C2, C3, C4, C5, respectively of movie KABIL independently (i.e., F1 books C1, F2 books C2 and so on), In how many ways can they sit on these seats if no one wants to sit on his booked seat, more over F1 and F2 want to sit adjacent to each other.
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Alpha Question Bank for Engineering: Mathematics>Chapter 8 - Permutation and Combination>Exercise-2>Q 35

The number of ways in which 5X's can be placed in the squares of the figure so that no row remains empty is:

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Alpha Question Bank for Engineering: Mathematics>Chapter 8 - Permutation and Combination>Exercise-2>Q 36
Sum of all the numbers that can be formed using all the digits 2, 3, 3, 4, 4, 4 is N, then N1111110 is equal to
MEDIUM
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Alpha Question Bank for Engineering: Mathematics>Chapter 8 - Permutation and Combination>Exercise-2>Q 37
Six married couple are sitting in a room. Number of ways in which 4 people can be selected so that there is exactly one married couple among the four is N then N-225 is equal to
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Alpha Question Bank for Engineering: Mathematics>Chapter 8 - Permutation and Combination>Exercise-2>Q 38
Let Pn denotes the number of ways of selecting 3 people out of 'n' sitting in a row if no two of them are consecutive and Qn is the corresponding figure when they are in a circle. If Pn-Qn=6, then 'n' is equal to
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Alpha Question Bank for Engineering: Mathematics>Chapter 8 - Permutation and Combination>Exercise-2>Q 39
The number of ways selecting 8 books from a library which has 10 books each of Mathematics, Physics, Chemistry and English, if books of the same subject are alike, is N2-4 then N is equal to
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Alpha Question Bank for Engineering: Mathematics>Chapter 8 - Permutation and Combination>Exercise-2>Q 40
The number of three digit numbers of the form xyz such that x<y and z≤y is N then N-225 is equal to
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IMPORTANT
Alpha Question Bank for Engineering: Mathematics>Chapter 8 - Permutation and Combination>Exercise-2>Q 41
In an examination, a candidate is required to pass in all the four subjects he is studying. The number of ways in which he can fail is