====== Question 9 Exercise 6.2 ======
Solutions of Question 9 of Exercise 6.2 of Unit 06: Permutation, Combination and Probablity. This is unit of A Textbook of Mathematics for Grade XI is published by Khyber Pakhtunkhwa Textbook Board (KPTB or KPTBB) Peshawar, Pakistan.

=====Question 9=====
How many signals can be given by six flags of different colors when any number of them used at a time?
====Solution====
We have to form signals using the six colors of the six flags.

If each signal consist of one color then total number of signals $=^6 P_1=6$.

If each signal consist of two color then total number of signal $s=^6 P_2=30$.

If each signal consist of three color then total number of signals $=^6 P_3=120$.

If each signal consist of four color then total number of signals $=^6 P_4=360$.

If each signal consist of five color then toțal number of signals $=^6 P_5=720$.

If each signal consist of six color then total number of signals $=^6 P_6=720$.

Hence the total number of signals are: $6+30+120+360+720+720=1956$.






====Go To====
<text align="left"><btn type="primary">[[math-11-kpk:sol:unit06:ex6-2-p4 |< Question 7 & 8 ]]</btn></text>
<text align="right"><btn type="success">[[math-11-kpk:sol:unit06:ex6-2-p6|Question 10 >]]</btn></text>