Division and Distribution into Groups of Equal Sizes
Trending Questions
Q. Five balls are to be placed in three boxes. Each box can hold all the five balls so that no box remains empty.
If balls are different but boxes are identical then number of ways is
If balls are different but boxes are identical then number of ways is
Q. In a chess tournament, where the participants were to play one game with another. Two chess players fell ill, having played three games each. If the total number of games played is 84, the number of participants at the beginning was:
- 21
- 16
- 15
- 20
Q. The number of ways a pack of 52 cards can be divided among four players in 4 sets, three of them having 17 cards each and the fourth one just 1 card is :
- 52!(17!)3×4
- 52!3⋅(17!)3
- 52!3!(17!)3
- 52!(3!)3(17!)
Q. A rectangle with side lengths as 2m−1 and 2n−1 units is divided into squares of unit length by drawing parallel lines as shown in diagram, then the number of rectangles possible with odd side length is
- (m+n−1)2
- 4m+n−1
- m(m+1)n(n+1)
- m2n2
Q. The number of ways 10 boys can be divided into 2 groups of 5, such that two particular boys are in the different groups, is
- 70
- 35
- 252
- 126
Q. The rank of the word SUCCESS, if all possible permutations of the word SUCCESS are arranged in dictionary order is
- 341
- 361
- 351
- 331
Q. Number of ways of dividing 80 cards into 5 equal groups of 16 each is :
- 80!(16!)5
- 80!(5!)16
- 80!(5!)5
- 80!(16!)5⋅5!
Q. An n-digit number is a positive number with exactly n digits. Nine hundred distinct n-digit numbers are to be formed using only the three digits 2, 5, and 7. The smallest value of n for which this is possible is
- 6
- 7
- 8
- 9