The number of ways to distribute 4 prizes among 10 students is 10P4 = 5040.

Choose 4 chairs from 6 (6C4) and arrange 4 students (4!). Total = 15 * 24 = 360.

The number of arrangements of 5 distinct books is 5! = 120.

The number of ways to arrange 5 different colored balls is 5! = 120.

The number of arrangements of 6 distinct balls is 6! = 720.

The number of arrangements of 6 people is 6! = 720.

Choose 3 people from 7: C(7, 3) = 35. The remaining 4 can be divided into 2 groups in 2 ways. Total = 35 * 2 = 70.

A person with blue eyes must have the genotype bb, as blue is recessive.

Precision refers to the consistency of repeated measurements, regardless of their accuracy.

In Mendel's experiments, yellow seed color was observed to be the dominant trait in pea plants.

In Mendel's experiments, yellow seed color was observed to be dominant over green seed color.

Nuclear fission releases a significant amount of energy and additional neutrons, which can induce further fission reactions.

Stems, particularly in the form of runners or tubers, are primarily responsible for asexual reproduction in many plants.

Flowers are the reproductive structures in plants that facilitate sexual reproduction.

Isotopes are defined as atoms that have the same number of protons but different numbers of neutrons.

A 'quantum leap' refers to the transition of an electron between discrete energy levels in an atom.

The coefficient of x^0 is given by 4C4 * (2x)^0 * (3)^4 = 1 * 81 = 81.

The coefficient of x^2 is C(5,2) * (2)^2 * (-5)^3 = 10 * 4 * (-125) = -5000.

The coefficient of x^2 is C(6,2) * (2)^2 * (-5)^4 = 15 * 4 * 625 = -37500.

The coefficient of x^3 is C(6,3)(2)^3(-5)^3 = 20 * 8 * -125 = -20000.

The coefficient of x^4 is given by 6C4 * (3)^4 * (-2)^2 = 15 * 81 * 4 = 4860.

The coefficient of x^2 is C(4,2)(3)^2(-4)^2 = 6 * 9 * 16 = -864.

The coefficient of x^3 is C(4,3) * (3)^1 = 4 * 3 = 12.

The coefficient of x^3 is C(5,3) * (-1)^2 = 10.

In the kinetic theory of gases, the temperature of a gas is a measure of the average kinetic energy of the molecules.

In elastic collisions, both kinetic energy and momentum are conserved, which is a key assumption in the kinetic theory of gases.

The Langmuir isotherm assumes that adsorption occurs at all pressures, not just high pressures.

Increasing the frequency of incident light increases the energy of emitted electrons, as per E = hf.

Zinc (Zn) is oxidized to Zn2+, so its oxidation state is +2.

In this reaction, Ag⁺ gains electrons to form Ag, thus it is reduced.