# The Number of Different Signals Which Can Be Given from 6 Flags of Different Colours Taking One Or More at a Time, Is,1958,1956,16,64 - Mathematics

MCQ

The number of different signals which can be given from 6 flags of different colours taking one or more at a time, is

• 1958

• 1956

• 16

• 64

#### Solution

1956
Number of permutations of six signals taking 1 at a time = 6P1
Number of permutations of six signals taking 2 at a time = 6P2
Number of permutations of six signals taking 3 at a time = 6P3
Number of permutations of six signals taking 4 at a time = 6P4
Number of permutations of six signals taking 5 at a time = 6P5
Number of permutations of six signals taking all at a time = 6P6

∴ Total number of signals

$= \frac{6!}{5!} + \frac{6!}{4!} + \frac{6!}{3!} + \frac{6!}{2!} + \frac{6!}{1!} + 6!$

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#### APPEARS IN

RD Sharma Class 11 Mathematics Textbook
Chapter 16 Permutations
Q 5 | Page 46