Question

A man has 6 different types of papers to write on, 4 different types of pens and 7 different colours of ink. In how many ways can he begin to write a letter?​

Answer 1

Answer:

With so many different pen types and labels, choosing the right pen is actually a ... to the pen itself, you also have to decide on the point size, type of ink, and color  ...

Step-by-step explanation:

mark as brainliest plz

Answer 2

given no. of different papers , pens and ink colors, find how many ways to begin to write a letter

Explanation:

1. no of ways of selecting 'r' items out of 'n' items is given by  $_{r}^{n}\textrm{C} = \frac{n!}{r!(n-r)!}\ \ \ \ \ \ \ \ \ \ \ \ ( n\geq r)$    
2. let the no. of different papers be P , no. of different pens be N and no. of different ink colors be I, the we have  $P=6,\ \ \ N=4,\ \ \ I=7$  
3. no. of ways to select a paper from given stack =P'=  $_{1}^{6}\textrm{C} = \frac{6!}{1!(6-1)!}=6$  
4. no. of ways to select a pen from given pens =N'= $_{1}^{4}\textrm{C} = \frac{4!}{1!(4-1)!}=4$  
5. no. of ways to select a color of ink=I' = $_{1}^{7}\textrm{C} = \frac{7!}{1!(7-1)!}=7$  
6. no. of ways to begin a letter = $P'xN'xI' = 6x4x7 = 168$