Twelve balls are distribute among three boxes. The probability that the first box contains three balls is a.`(110)/9(2/3)^(10)` b. `(9)/110(2/3)^(10)` c. `((12)C_3)/(12^3)xx2^9` d. `((12)C_3)/(3^(12))`

If 12 identical balls are to be placed in 3 identical boxes, then the probability that one of the boxes contains exactly 3 balls is : (1) (55)/3(2/3)^(11) (2) 55(2/3)^(10) (3) 220(1/3)^(12) (4) 22(1/3)^(11)

A box contains 2 black, 4 white, and 3 red balls. One ball is drawn at random from the box and kept aside. From the remaining balls in the box, another ball is drawn at random and kept aside the first. This process is repeated till all the balls are drawn front the box. The probability that the balls drawn are in the sequence of 2 black, 4 white, and 3 red is a. 1//1260 b. 1//7560 c. 1//126 d. none of these

Prove that ""^(10)C_(2)+2xx^(10)C_(3)+^(10)C_(4)=^(12)C_(4)

A box contains 24 identical balls of which 12 are white and 12 are black. The balls are drawn at random from the box one at a time with replacement. The probability that a white ball is drawn for the 4th time on the 7th draw is (a) 5/64 (b) 27/32 (c) 5/32 (d) 1/2

Three balls are to be chosen from a box contaning 3 red ,2 white and 4 blue balls.Find the probability that all the three balls are of different colour.

In how many ways (i) 5 diffrents balls be distributed among 3 boxes?(ii) 3 different balls be distributed among 5 boxes?

Find the value of Q (12!)/(9!xx3!)