Permutation and Combination

Practice Permutation and Combination – What is the value of ¹⁵C₁₃?

Practice Permutation and Combination – The causes of productivity loss are to be written around a circle in the annual report. In how many ways can an analyst write them around the circle, if the number of causes are 5?

Practice Permutation and Combination – If ¹⁰C_x = 1, then what is the value of x if x≠0?

Practice Permutation and Combination – Karim had 4 shirts and 3 pants. In how many ways can he select a dress considering that he does not wear the same combination on consecutive days?

Practice Permutation and Combination – In a locality there are ten houses in a row. On a particular night a thief planned to steal from three houses of locality. In how many ways can he plan such that no two houses are next to each other?

Practice Permutation and Combination – A tea party is arranged for 16 people along the two sides of a long table with 8 chairs on each side. Four men wish to sit on one particular side and two on the other side. In how many ways can they be seated ?

Practice Permutation and Combination – How many no can be formed using digits (1,2,3,4,5,6,7,8,9) such that they are in increasing order (eg:0 12345, 345, 6789, 123456789)?

Practice Permutation and Combination – In how many ways a leap year can have 53 ‘Friday’ ?

Practice Permutation and Combination – Asish was given Rs. 158 in denominations of Rs 1 each. He distributes these in different bags, such that the sum of money of denomination between 1 and 158 can be given in bags. The min no. of such bags reqd :

Practice Permutation and Combination – A man engaged a servant on a condition that he will pay Rs 90 and olso give him a bag at the end of the year . He worked for 9 months and was paid Rs 55 and a turban. So the price of the turban is?

Practice Permutation and Combination – How many alphabets need to be there in a language if one were to make 1 million distinct 3 digit initials using the alphabets of the language?

Practice Permutation and Combination – in how many different ways can the letters of the word OPTICAL be arranged so that the vowels always come together

Practice Permutation and Combination – N people were sitting on a circular manner , if each of two present in the party except the pairs were adjacent sang a song , if a song lasted for 2 mins and 28 minutes was taken for singing song , find N.

Practice Permutation and Combination – In a chess tournament each of the six players will play with every other player exactly once. How many matches will be played during the tournament?

Practice Permutation and Combination – In how many different ways could couples be picked from 8 men and 5 women?