NCERT Class XI Mathematics - Permutations and Combinations - Solutions

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.