NCERT Solutions
Class 11 - Mathematics - Chapter 6: PERMUTATIONS AND COMBINATIONSEXERCISE 6.1
Class 11 - Mathematics - Chapter 6: PERMUTATIONS AND COMBINATIONS
Question. 1
How many 3-digit numbers can be formed from the digits 1, 2, 3, 4 and 5 assuming that repetition of the digits is allowed and also when repetition is not allowed?
Answer:
(i) 125
(ii) 60
Question. 2
How many 3-digit even numbers can be formed from the digits 1, 2, 3, 4, 5, 6 if the digits can be repeated?
Answer:
108
Question. 3
How many 4-letter codes can be formed using the first 10 letters of the English alphabet if no letter can be repeated?
Answer:
5040
Question. 4
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?
Answer:
336
Question. 5
A coin is tossed 3 times and the outcomes are recorded. How many possible outcomes are there?
Answer:
8
Question. 6
Given 5 flags of different colours, how many different signals can be generated if each signal requires the use of 2 flags, one below the other?
Answer:
20