Question

File red blue green, where each file contains at least 10 balls.In how many ways can 10 balls.. If at most one ball is selected

Answer 1

Problems on Permutations and Combinations - Solved Examples(Set 4)91. A box contains 4 different black balls, 3 different red balls and 5 different blue balls. In how many ways can the balls be selected if every selection must have at least 1 black ball and one red ball?A. @@(2^4-1)(2^3-1)(2^5-1)@@B. @@(2^4-1)(2^3-1)2^5@@C. @@2^{12}-1@@D. @@2^{12}@@

View Answer

|

Notebook

| Discuss
92. There are 10 different books and 20 copies of each book in a library. In how many ways can one or more than one book be selected?A. @@21^{10}-1@@B. @@2^{200}@@C. @@2^{200}-1@@D. @@21^{10}@@

View Answer

|

Notebook

| Discuss
93. In how many ways can 4 different balls be distributed among 5 different boxes when any box can have any number of balls?A. @@5^4-1@@B. @@5^4@@C. @@4^5-1@@D. @@4^5@@

View Answer

|

Notebook

| Discuss
94. In how many ways can three different balls be distributed among two different boxes when any box can have any number of balls?A. @@2^3-1@@B. @@2^3@@C. @@3^2-1@@D. @@3^2@@

View Answer

|

Notebook

| Discuss
95. In how many ways can 5 distinguishable balls be put into 8 distinguishable boxes if no box can contain more than one ball?A. None of theseB. 8P5C. @@8^5@@D. @@5^8@@

View Answer

|

Notebook

| Discuss
96. In how many ways can 8 distinguishable balls be put into 5 distinguishable boxes if no box can contain more than one ball?A. @@0@@B. @@8^5@@C. 8P5D. @@5^8@@

View Answer

|

Notebook

| Discuss
97. In how many ways can 8 distinguishable balls be put in to 5 distinguishable boxes if any box can contain more than one ball?A. @@8^5@@B. 8P5C. None of theseD. @@5^8@@

View Answer

|

Notebook

| Discuss
98. In how many ways can 7 different balls be distributed in 5 different boxes if any box can contain any number of balls and no box is left empty?A. 16800B. 12400C. 22000D. 19700

View Answer

|

Notebook

| Discuss
99. In how many ways can 7 identical balls be distributed in 5 different boxes if any box can contain any number of balls?A. 200B. 330C. 410D. 390

View Answer

|

Notebook

| Discuss
100. In how many ways can 7 different balls be distributed in 5 different boxes if box 3 and box 5 can contain only one and two number of balls respectively and rest of the boxes can contain any number of balls?A. 10100B. 6200C. 8505D. 12800