multiplying binomials like


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Alternative Proof of Binomial Theorem for Positive Integral Index (Combinatorial Method)
We have, (a + b) n = (a + b) (a + b) ....... n times. The terms on the RHS are obtained by taking one letter from each factor and multiplying them together. Choosing 'a' from all the factors, we get the term a n..
Select the cases that can be treated as binomial experiments.I. Survey..
Select the cases that can be treated as binomial experiments. I. Surveying 50 people to find whether they like drinking coffee. II. Drawing two cards from a deck of cards and getting a king and a queen. III. Surveying 100 people to find the TV channel they like the mos..
Gears
Gears are like a continuously rotating lever. By using different sizes of wheels, and different numbers of teeth, you can use gears as force multipliers or as distance multipliers..
Gears
gears force multipliers Gears - Gears are like a continuously rotating lever. By using different sizes of wheels, and different numbers of teeth, you can use gears as force multipliers or as distance multipliers. Figure above shows two cogs one with twice as many teeth as the other. The cog t..
Immunity through diseases
The first time a person gets an infection, he is likely to develop the disease because the antibody production is slow and the virus has time to multiply and spread throughout the body. The cells capable of producing antibodies persist in the body as memory cells for a long tim..
Advantages
The offsprings are genetically identical and therefore advantageous traits can be preserved. Only one parent is required which eliminates the need for special mechanisms such as pollination, etc. It is faster. For example, bacteria can multiply every 20 minutes. This helps the organis..
Shifts in disease / pest cycles of animals and plants
Many diseases and pests of plants / animals follow a particular rhythm because of specific response of causal organism to a set of environmental conditions. Hence, disease / pest is more likely to attack a plant/animal if the environmental situations are favourable. These are called 'pre..
Modern Classification Summary
Summary - The modern classification is an extension of the system of classification proposed by Carolus Linnaeus. The present system of classification involves a series of graded taxonomic ranks called taxa which include phylum and family in addition to the four taxa introduced by Linnaeus. The hie..
Merits and Demerits of Vegetative Propagation
Advantages - The offsprings are genetically identical and therefore advantageous traits can be preserved. Only one parent is required which eliminates the need for special mechanisms such as pollination, etc. It is faster. For example, bacteria can multiply every 20 minutes. This helps th..
2) Epimorphosis
Regeneration of a Limb of a Newt The mechanism of regeneration can be studied from limb regeneration in salamander. This involves the following stages, Wound healing: The epidermal cells from the edges of the wound migrate and spread over the exposed surface. This is known as wound healing. Blastem..
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