Sujit Prasad Kushwaha

This is the mathematics formulae book for class 12 students. Here, we have covered all the formulae needed to solve the questions of Mathematics. Permutation The total arrangement of total objects taken some or all at a time is called permutation. The permutation of 'n' objects taken 'r' at a time is denoted by $^np_{r}$ and is defined by; 1. $^np_{r}=\frac{n!}{(n-r)!}$ 2. Permutation of an object, all different;$$=\frac{n!}{p!\,q!\,r!}$$ where,  n=total objects p=repetition of first kind  q=repetition of second kind r=repetition of third kind 3. Circular permutation= $(n-1)!$ 4. If clockwise and anticlockwise arrangement are not distinguishable [necklace of beads and beads into bracelet]; Total number of permutation=$\frac{(n-1)!}{2}$ Combination The selection of total objects taken some or all at a time is called combination. The combination of 'n objects taken 'r' at a time is denoted by $^nc_{r} \, or \, c(n,r)$ and defined by; $$^nc_{r}=\frac{n!}{(n-r)!...

                                                                  New Syllabus Course Title: Scientific Communication                                                                   Full Marks:50 Course No: SC 101                                                   ...

  Once there was a poor woodcutter. He sold firewood in the market and bought food, clothes for him. One day his axe fell into the river while he was cutting firewood. He wept sitting on the bank of the river because he would not be able to buy another axe. The river god heard his sorrow and came out of the water. Firstly, the river god showed a golden axe and secondly, silver axe. But the woodcutter said that those were not his axes. Finally, the god showed him his own axe. He said that that was his own axe. The river god was pleased with him and gave all three axes. The woodcutter went home and told the story to his neighbors. After listening the story, another greedy woodcutter went to the same place and did the similar activities like the first woodcutter. After listening the second Woodcutter’s sorrow, the river god came out of water and showed him a golden axe. Then, the woodcutter became happy and replied that it was his own axe. The god knew his tricks and was angry with hi...

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The cow is considered a sacred animal in Nepal and holds great cultural and religious significance. It is also an important source of livelihood for many Nepalese farmers, providing milk, meat, and dung for fuel and fertilizer. In Hinduism, cows are considered sacred and are associated with the goddesses Lakshmi and Gauri, who are considered to be the embodiment of wealth, fertility, and motherhood. The cow is also a symbol of non-violence and is believed to possess healing powers. The cow is also a symbol of wealth and status in Nepal. Many families, especially in rural areas, own cows as a sign of prosperity and a source of income. Cows are considered a valuable asset, and their ownership is often used as a measure of social status. In addition, cows are often given as gifts at weddings and other important events. The cow is also considered a symbol of motherhood and is often depicted in art and religious iconography as a nurturing figure. In Hinduism, the cow is seen as a repres...