NCERT Class XI Mathematics - Permutations and Combinations - Solutions

© examsnet.com
Question : 4
Total: 41
How many 5-digit telephone numbers can be constructed using the digits 0 to 9 if each number starts with 67 and no digit appears more than once?
Solution:  
The 5 digit telephone numbers of the form
6 7
can be constructed using the digits 0 to 9. When repetition is not allowed then at first & second place 6 & 7 are fixed respectively. Therefore, third, fourth and fifth place can be filled in 8, 7 and 6 ways respectively. So, by the multiplication principle the required numbers of 5-digit telephone numbers is 8 × 7 × 6 i.e., 336.
© examsnet.com
Go to Question: