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]
A 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
7thIt 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
8thMy 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 a good experience with Abhyas Academy. I even faced problems in starting but slowly and steadily overcomed. Especially reasoning classes helped me a lot.
Cheshta
10thMy 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
7thAbhyas Methodology is very good. It is based on according to student and each child manages accordingly to its properly. Methodology has improved the abilities of students to shine them in future.
Manish Kumar
10thBeing a parent, I saw my daughter improvement in her studies by seeing a good result in all day to day compititive exam TMO, NSO, IEO etc and as well as studies. I have got a fruitful result from my daughter.
Prisha Gupta
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
10thIt 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
10thI 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
