Question
In how ways can the selection be made so that a
particular member is always excluded? There are 5 members in a delegation which is to be sent abroad. The total no. of members is 11.Solution
As 1 person is always excluded, members are to be chosen out of 10 persons. ∴ Reqd. no. of ways = 10C_5 = (10 × 9 × 8 × 7 × 6)/(5 × 4 × 3 × 2) = 252
Find the value of ‘x’ in the given expression:
(49/16)x × (64/343)x-1 = 4/7
In a triangle ABC, a point D lies on AB and points E and F lie on BC such that DF is parallel to AC and DE is parallel to AF. If BE = 4 cm. EF = 6cm. th...
If (x + y + z) = 68, (x/z) = (3/4) and (z/y) = (2/5), then find the value of ‘y’.
(123×123×123 + 130×130×130)/(123×123 - 123×130 + 130×130) = ?Â
If x2 – 10x + 20 = 0, then find the value of (x – 3)2 + 1/(x – 3)2
25, 25.8, 27.4, 29, 33, 37
If x = 21, then the value of x5 - 22x4 + 22x3 - 22x2 + 22x - 1 is

If (x2 + y2) = 9 and (xy)2 = 3, then find the value of (x4 + y4).
If (x - 1) 3 Â + (y - 2) 3 Â + (z - 3) 3 Â + 3(x + y - 3)(y + z - 5)(x + z - 4) = 0, then what is the value of (x + y +...