Find the number of ways in which the letters A, B, C, D, E, F can be placed in the 8 boxes of the given figure so that no row remains empty. (figure)
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Five oys and three girls are sitting in a row of `8` seats. Number of ways in which they can be seated so that not all the girls sit side by side is
Correct Answer - A `(a)` Total no. of arrangement if all the girls do not seat side by side `=["all arrangement"-"girls seat side by side"]` `=8!-(6!xx3!)` `=6!(56-6)=6!xx50` `=720xx50=36000`
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Find the number of ways of arranging 15 students `A_1,A_2,........A_15` in a row such that (i) `A_2`, must be seated after `A_1 and A_2`, must come af
Correct Answer - A `(a)` First arrange `12` persons `A_(4),A_(5),….A_(15)` in `"^(15)P_(12)` ways There remains `3` places. Keep `A_(1)` in the first place and arrange `A_(2)`, `A_(3)` in the remaining two...
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Number of ways in which 7 green bottles and 8 blue bottles can be arranged in a row if exactly 1 pair of green bottles is side by side, is (Assume all
Correct Answer - C `(c )` First arrange `8` blue alike bottles `to ` number of ways `=1` Now select one gap out of `9` gaps created to put two green...
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Ten identical balls are distributed in 5 different boxes kept in a row and labeled `A, B, C, D and E.` The number of ways in which the ball can be dis
Correct Answer - C `(c )` Case I : When no box remains empty Then number of ways of distribution is `.^(10-1)C_(5-1)=^(9)C_(4)=126` Case ii : Exactly one box is empty Number...
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The number of ways of partitioning the set `{a,b,c,d}` into one or more non empty subsets is
Correct Answer - B `(b)` `{:("Partitioning",,"Number of ways"),(4"members",,1),(1+3"members",,(4!)/(1!3!)=4),(2+2"members",,(4!)/((2!)^(2)2!)=3),(1+1+2"members",,(4!)/((1!)^(2)2!2!)=6),(1+1+1+1"members",,(4!)/((1!)^(4)4!)=1),("Total",,15"ways"):}`
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`5` different balls are placed in `5` different boxes randomly. Find the probability that exactly two boxes remain empty. Given each box can hold any
Correct Answer - B `(b)` Each ball can be placed in 5 ways. `:.` Total number of ways, `n(S)=5^(5)` `2` empty boxes, can be selected in `"^(5)C_(2)` ways and `5` balls...
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There is certain number of rows of chairs in a room .The number of chairs in each row is thrice the total number of rows. Find the number of charis in
Correct Answer - 81,27
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Which of the following is the empty/non-empty set `(i) {x:x"is a real number and"x^(2)-1=0}` `{x : x"is a real number and" x^(2)+1=0}` `(iii) {x : x "
Correct Answer - `(i)` non empty `(ii)` empty `(iii)` non-empty `(iv)` non-empty
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Arrange the following steps in a sequence to find the area of a leaf. (a) Find the number of complete boxes and half boxes inside the boundary. (b) As
Correct Answer - d,c,e,a,b
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Ramu placed a rectangular glass slab over printed letters. The letters appears while ………………. viewing through a glass slab.
B) nearer as its original position
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