Total Number of Combinations
Total Number of Combinations
Let us consider some cases to calculate the total number of combinations
1.The total number of combination of ( p + q) things taken any number at a time when p things are alike of one kind and q things are alike of a second kind is
( p + 1)(q + 1) -1.
For Example:, There are 4 orange, 5 pineapples and 7 watermelons in a fruits basket. The number of ways in which a person can choose one or more of the fruits is [(4 + 1) X ( 5 + 1) X ( 7 + 1)] -1
= ( 5 X 6 X 8 ) - 1 = 239
2. The total number of ways of selecting one or more objects from n given objects is
( - 1).
For Example:The number of ways in which a man can invite one or more of his 5 friends to dinner is (-1) = 32- 1 = 31.
3. Total number of selection of r consecutive things out of n things in a row
= n - r + 1.
For Example: Total ways of selecting 3 consecutive students from a row of 9 students
= 9 - 3 + 1 = 7 ways
4. Number of selections of r consecutive things out of n things along a circle
= {n, when r > n
{ 1, when r = n
For Example:, Total ways in which 9 pearls can be selected from a necklace having 24 pearls is 24.
Students / Parents Reviews [10]
I have spent a wonderful time in Abhyas academy. It has made my reasoning more apt, English more stronger and Maths an interesting subject for me. It has given me a habbit of self studying
Yatharthi Sharma
10thAbhyas is a complete education Institute. Here extreme care is taken by teacher with the help of regular exam. Extra classes also conducted by the institute, if the student is weak.
Om Umang
10thAbout Abhyas metholodology the teachers are very nice and hardworking toward students.The Centre Head Mrs Anu Sethi is also a brilliant teacher.Abhyas has taught me how to overcome problems and has always taken my doubts and suppoeted me.
Shreya Shrivastava
8thIt has a great methodology. Students here can get analysis to their test quickly.We can learn easily through PPTs and the testing methods are good. We know that where we have to practice
Barkha Arora
10thMy experience was very good with Abhyas academy. I am studying here from 6th class and I am satisfied by its results in my life. I improved a lot here ahead of school syllabus.
Ayan Ghosh
8thIt was good as the experience because as we had come here we had been improved in a such envirnment created here.Extra is taught which is beneficial for future.
Eshan Arora
8thOne of the best institutes to develope a child interest in studies.Provides SST and English knowledge also unlike other institutes. Teachers are co operative and friendly online tests andPPT develope practical knowledge also.
Aman Kumar Shrivastava
10thA marvelous experience with Abhyas. I am glad to share that my ward has achieved more than enough at the Ambala ABHYAS centre. Years have passed on and more and more he has gained. May the centre flourish and develop day by day by the grace of God.
Archit Segal
7thMy experience with Abhyas is very good. I have learnt many things here like vedic maths and reasoning also. Teachers here first take our doubts and then there are assignments to verify our weak points.
Shivam Rana
7thMy experience with Abhyas academy is very good. I did not think that my every subject coming here will be so strong. The main thing is that the online tests had made me learn here more things.
