There are 10 books on a shelf , of which 4 are paperbacks and 6 are hardbacks . How many possible selections of 5 books from the shelf contain at least one paperback and at least one hardback?

There are 10 books on a shelf , of which 4 are paperbacks and 6 are hardbacks . How many possible selections of 5 books from the shelf contain at least one paperback and at least one hardback? Correct Answer 246

Choosing ways where all 5 are of one kind and subtracting from all ways... total ways - 10C5 all one of a kind - 6C5 total selections = 10!/5!5!−6!/5!1! = 246
Bissoy MCQ

Related Questions

There are 10 books on a shelf, of which 4 are paperbacks and 6 are hardbacks, How many possible elections of 5 books from the shelf contain at least one paperback and at least one hardback?
There are 8 books on a shelf, of which 2 are paperbacks and 6 are hardbacks. how many possible selections of 4 books form this shelf include at least 1 paperback book?
Read the following passage and select the most appropriate answer : Nine books are to be arranged form the left to right on a shelf . Of these , four books are leather -bounds , three are cloth -bounds and remaining books are paperbacks. The leather bound books must be together . The paperback books must also be together. The clothbound books need not to be together . The cloth-bound books must be next to each other , if a paperback book is in which of the following position ?
There are 48 books on 3 shelves. If 3 books from third shelf are shifted to the second there will be same number of books on first and third shelves and double the number of books on shelf . How many books were there on three shelves originally?
Of the books standing in a row on a shelf, an atlas is the 30th book from the left and the 33rd book from the right. If 2 books to the left of the atlas and 4 books to the right of the atlas are removed from the shelf, how many books will be left on the shelf?
In a library , of the books standing in a row on a shelf ,an atlas is the 30th book from the left and the 33rd book from the right . If 2 books will be left of the atlas and 4 books to the right of the atlas are removed from the shelf , how many books will be left on the shelf?
In the following passage some of the words have been left out. Read the passage carefully and select the correct answer for the given blank out of the four alternatives. Books are our ______ friends. They are our guides. We can learn everything from them. The books contain all the great ______ of the world's leaders and we can learn them by reading the books. The books help us find ______ to our questions. The books never fail us. We should read as ______ books as we can. But all books are not good. So we should ______ only good books. So we should ______ only good books and read them.
In the following passage some of the words have been left out. Read the passage carefully and select the correct answer for the given blank out of the four alternatives. Books are our ______ friends. They are our guides. We can learn everything from them. The books contain all the great ______ of the world's leaders and we can learn them by reading the books. The books help us find ______ to our questions. The books never fail us. We should read as ______ books as we can. But all books are not good. So we should ______ only good books. ______ books as we can.
In the following passage some of the words have been left out. Read the passage carefully and select the correct answer for the given blank out of the four alternatives. Books are our ______ friends. They are our guides. We can learn everything from them. The books contain all the great ______ of the world's leaders and we can learn them by reading the books. The books help us find ______ to our questions. The books never fail us. We should read as ______ books as we can. But all books are not good. So we should ______ only good books. The books help us find ______ to
In the following passage some of the words have been left out. Read the passage carefully and select the correct answer for the given blank out of the four alternatives. Books are our ______ friends. They are our guides. We can learn everything from them. The books contain all the great ______ of the world's leaders and we can learn them by reading the books. The books help us find ______ to our questions. The books never fail us. We should read as ______ books as we can. But all books are not good. So we should ______ only good books. Books are our ______ friends.