In a circle of n different persons, the total number of arrangements possible = (n - 1)!
Total number of arrangements = n(S) = (15 ? 1)! = 14 !
Taking three persons as a unit, total persons = 13 (in 4 units)
Therefore no. of ways for these 13 persons to around the circular table = (13 - 1)! = 12!
In any given unit, 3 particular person can sit in 3!. Hence total number of ways that any three person can sit =
n(E) = 12! X 3!
Therefore P (E) = probability of three persons sitting together = n(E) / n(S) = 12! X 3 ! / 14!
= 12!x3x2 / 14x13x12! = 6/14x13 = 3/91
Given M1 = 10
D1 = 8, M2= ? and D2 = 1/2
From M1 D1 = M2 D2
? 10 x 8 = M2 x 1/2
? M2= 10 x 8 x 2
? M2 = 160
Work completed by A + B in one day = 1/6 + 1/3 = 1/2
? Time taken by A + B to complete the work = 2 days.
(?)1/2 = (5568 ÷ 87)1/3 + (72 x 2)1/2
= (64)1/3 + (144)1/2
? ? = (4 + 12)2 = 256
Given Expression = ( .803 x .647 + .803 x .353 )
= 803 x (.647 + .353)
= .803 x 1
= .803
? Anup's age = (5 - 2) years = 3 years
Let Randheer's age be x years.
Then, (x - 6)/18 = 3
? x = 54 + 6 = 60
? Total age of father and mother = 35 x 2 = 70 yr
and total age of father, mother and son = 27 x 3 = 81 yr
&there4: Age of son = 81 -70 = 11 yr
So, the next number is (255 x 2) + 1 = 511.
356 x 936 - 356 x 836 = 356 x (936 - 836 )
= 356 x 100
= 35600.
It is (30 x 80)/100 - (4 x 25)/ 5 = 24 - 20 = 4
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