GATE Questions

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Given in the question that, there are 7 boys and 6 girls. 

Team members = 5

Now, required number of ways in which a team of 5 having atleast 3 girls in the team = 

$$\begin{gathered} 6C3 x 7C2 + 6C4 x 7C1 + 6C5 \\ = 6x5x43x2x1 x 7x62x1 + 6x5x4x34x3x2x1 x 7 + 6x5x4x3x25x4x3x2x1 \\ = 420 + 105 + 6 \\ = 531. \end{gathered}$$

Let 'Y' be the youngest player.

The last song can be sung by any of the remaining 3 players. The first 3 players can sing the song in (3!) ways.

The required number of ways = 3(3!) = 4320.

*  The Gulf of Mexico, bordered by the United States, Mexico, and the island nation of Cuba, is the worlds largest gulf.

*  It has a coastline of about 5,000 kilometers (3,100 miles).

*  The Gulf of Mexico is connected to the Atlantic Ocean by the Straits of Florida, between Cuba and the U.S. state of Florida.

*  It is largely surrounded by the North American continent.

The given statement is False. Wild animals are considered as a natural resource.

Natural resources are resources taken from nature to satisfy our needs. These natural resources are:

1) Air

2) Water

3) Soil

4) Plants

5) Animals

6) Minerals

7) Forests

8) Natural Gas

9) Coal

10) Petroleum.

Jupiter has 67 natural satellites. Eight of Jupiter's moons are regular satellites, with 4 large, spherical moons, and 4 smaller moons that orbit closer to Jupiter. Jupiter has an additional 55 tiny irregular satellites.

The planet with the second highest number of moons is Saturn, with 61 moons.

Earth has only one natural satellite i.e, Moon.

Mercury and Venus have no satellites.

The nucleus of hydrogen consists of only a single proton.

Its parts are a single negatively-charged electron that circles a single positively-charged nucleus of the hydrogen atom.

The electron is bound to the nucleus by the Coulomb force.

Let rate = R% and time = R years.

Then, (1200 x R x R) / 100 = 432

=> R = 6.

A Secret is what you want to share if you have with you. And if you share that secret with anyone, then secret will not be with you only.