NCERT Solutions
Class 11 - Mathematics - Chapter 6: PERMUTATIONS AND COMBINATIONS
EXERCISE 6.1

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

NCERT Solutions Class 11 – Mathematics – Chapter 6: PERMUTATIONS AND COMBINATIONS – EXERCISE 6.1 | Detailed Answers