First, we can select 12 beads out of 18 beads in 18C12 ways.
Now, these 12 beads can make a necklace in 11! / 2 ways as clockwise and anti-clockwise arrangements are same.
So, required number of ways = [ 18C12 .11! ] / 2!
= [18C6.11! ] / 2!
= [18 x 17 x 16 x 15 x 14 x 13 x 11! ] / [6 x 5 x 4 x 3 x 2 x 1 x 2!]
= [17 x 7 x 13! ] / 2!
= 119 x 13 !/ 2
Ratio of area = a2/ ?(3/4) a2
= 4/?3 = 4:?3
? log tan 45 = log 1 = 0
Hence, Whole Expression = (something) x zero
Prime number less than 40 are 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37
? The number of all prime numbers less than 40 = 12.
(1/5 )3a = 0.008 = 8/1000 = 1/125 = (1/5 )3
Apply the Algebra Law and Solve the equation.
? 3a = 3
? a = 1
? ( 0.25 )a = ( 0.25 )1 = 0.25
Let CP of the article be ? N
Then, SP = 110% of x = 1.1N
If SP be double i.e., 2.2N, then
Profit per cent= [(2.2N - N)/ N] x 100% = 120%
Curved surface area = ?rl
= (22/7 x 6 x 28) cm2
= 528 cm2
Number of boy = ( 2140 - 1200 ) = 940
? Boys : Girls = 940 : 1200 = 47 : 60
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