In how many ways can we form five digit number composed of 1, 2, 3, 4 and 5 exactly once such that 3 always follows 2 and 4 always precedes 5 but 1 do...

Find the last three digits in the binary expansion of the number 43211724?

solution please..

shortest (1) and tallest (8) women are fixed:XXX81XXX 2 and 7 have two options, so total 4 patterns: 1:2xx81xx7 |2468| |2568||1357| |1347| 2.2x781...

But the correct ans is option (b)

What is the diameter of largest hemisphere that can be inscribed in a cube of edge length 1? √3(√3 - 1) 0.4√6(√6 - 1) √3 1

Three identical squares with bases AP, PQ, and QB are put next to each other to form a rectangle ABCD. Find the sum of the angles <APD + <AQD + ...

If a, b, c are roots of x³ - 7x² - 6x + 5 = 0, find the value of (a + b)(b + c)(c + a).

In a regular polygon of ‘n’ sides, a circle of radius r is inscribed and another circle of radius R is circumscribed. Which of the following is defini...

Area of equi triangle= √3/4* a^2 --1 Also 1/2* a * (4+3+5)= 6a --2 from 1 and 2 6a= √3/4* a^2 a=8√3 therefore area=√3/4* a...

In how many ways two red balls, one green ball and one blue ball can be put in three boxes of different sizes if order of putting the balls doesn’t ma...