An alloy contains copper and zinc in the ratio 5 : 3 and another contains copper and tin in the ratio 8 : 5. If equal weights of the two are melted together to form a 3rd alloy, find the weight of tin per kg in the new alloy.

Out of 6 men and 3 women a committee of 3 members is to be formed so that it has 2 men and 1 woman. In how many different ways can this be done?

In how many different ways can the letters of the word “INCORPORATION” be arranged so that the vowels comes together?

Find the quantity of methods of picking 4 cards from a set of 52 playing cards if four cards are of the same unit?

In how many ways can 4 boys and 3 girls can be seated in a row so that they are in alternate position.

If the letters of the Word SINHA are arranged in all possible ways and these words are written out as in Dictionary, then the rank of the word SINHA is

Find the number of words that can be formed by using all letters of the word 'LAPTOP', if order of vowels remains same.

In how many ways can a group of 2 boys and 2 girls be made out of a total of 6 boys and 4 girls?

8 students appear in an examination. In how many ways can the result be announced?

Find the number of words that can be formed by using all letters of the word 'ESCAPE', if it starts with letter C and end with letter P.