Home
Class 12
MATHS
Consider three boxes, each containing 10...

Consider three boxes, each containing 10 balls labelled 1, 2, …, 10. Suppose one ball is randomly drawn from each of the boxes denoted by `n_(i)`, the label of the ball drawn from the `i^(th)` box, (I = 1, 2, 3). Then, the number of ways in which the balls can be chosen such that `n_(1) lt n_(2) lt n_(3)` is

A

82

B

240

C

164

D

120

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

Consider three boxes, each containing 10 balls labelled 1, 2, .., 10. Suppose one ball is randomly drawn from each of the boxes. Denote by n_(i) , the label of the ball drawn from the ith box, (I = 1, 2, 3). Then, the number of ways in which the balls can be chosen such that n_(1) lt n_(2) lt n_(3) is

The number of ways in which n distinct balls can be put into three boxes, is

A box contains two white balls, three black balls nd four red balls. The number of ways in which three balls can be drawn from the box so that at least one of the balls is black is

A box contains 15 green and 10 yellow balls. If 10 balls are randomly drawn, one by one, with replacement, then the variance of the number of green balls drawn is

A box contains 20 balls bearing numbers - 1, 2, 3, 4, ..., 20. A ball is drawn at random from the box. What is the probability that the number on the ball is divisible by 7?

A box contains 5 red balls, 8 green balls and 10 pink balls. A ball is drawn at random from the box. What is the probability that the ball drawn is either red or green?

A box contains 20 balls bearing numbers 1 , 2 , 3 , 4 ,__ , 20 . A ball is drawn at random from the box . What is the probability that the number on the ball is divisible by 7 ?

CENGAGE-JEE 2019-MCQ
  1. If set A={1, 2, 3, ?2, }, then the find the number of onto functions f...

    Text Solution

    |

  2. Let S={1,2,3, …, 100}. The number of non-empty subsets A to S such tha...

    Text Solution

    |

  3. Consider three boxes, each containing 10 balls labelled 1, 2, …, 10. S...

    Text Solution

    |

  4. Let Z be the set of integers. If A = {x in Z : 2^((x + 2)(x^(2) - 5x +...

    Text Solution

    |

  5. There are m men and two women participating in a chess tournament. Eac...

    Text Solution

    |

  6. If the fractional part of the number (2^(403))/(15) is (k)/(15) then k...

    Text Solution

    |

  7. The coefficient of t^4 in ((1-t^6)/(1-t))^3 (a) 18 (b) 12 ...

    Text Solution

    |

  8. If Sigma(i=1)^(20) ((""^(20)C(i-1))/(""^(20)C(i)+""^(20)C(i-1)))^(3)=(...

    Text Solution

    |

  9. If the third term in expansion of (1+x^(log2x))^5 is 2560 then x is eq...

    Text Solution

    |

  10. The positive value of lambda for which the coefficient of x^(2) in the...

    Text Solution

    |

  11. If Sigma(r=0)^(25) (""^(50)C(r)""^(50-r)C(25-r))=K(""^(50)C(25)), th...

    Text Solution

    |

  12. If the middle term of the expansion of (x^3/3+3/x)^8 is 5670 then sum ...

    Text Solution

    |

  13. The value of r for which .^(20)C(r ), .^(20)C(r - 1) .^(20)C(1) + .^...

    Text Solution

    |

  14. Let (x+10)^(50)+(x-10)^(50)=a(0)+a(1)x+a(2)x^(2)+...+a(50)x^(50) for a...

    Text Solution

    |

  15. Let Sn=1+q+q^2 +?+q^n and Tn =1+((q+1)/2)+((q+1)/2)^2+?+((q+1)/2)^n If...

    Text Solution

    |

  16. Ratio of the 5^(th) term from the beginning to the 5^(th) term from th...

    Text Solution

    |

  17. If .^(n)C(4),.^(n)C(5), .^(n)C(6) are in A.P., then find the value of ...

    Text Solution

    |

  18. Number of irrational terms in expansion of (2^(1/5) + 3^(1/10))^60 is

    Text Solution

    |

  19. Two integers are selected at random from the set {1, 2, …, 11}. Given ...

    Text Solution

    |

  20. Let S={1,2,...,20} A subset B of S is said to be "nice", if the sum of...

    Text Solution

    |