Here's the complete question for question 2.
Three boys and six girls are being seated in a row of nine chairs on a stage which are numbered from left to right. How many seating arrangements are there if Girls sit in the first two seats as well as the last seat?
Answer:
these are two different questions. the answers are below.
1. 11,232,000
2. 86400
Step-by-step explanation:
1.
We have 26 letters in the alphabets from a-z
Now this question tells us that there is no repetition. So when first letter is chosen from 26, we are left with 25 alphabets, if another 1 is taken from 25 we have 24 left.
We can choose 3 alphabets in 26x25x24 ways
We have 10 numbers from 0-9
When we take 1 number away from this 10 we have 9 left, another 1 from remaining 9 leaves us with 8
= 10x9x8
Total number of manufactured sets =
26x25x24x10x9x8
= 11,232,000
2.
For girls, g2, g2, g3, g4, g5, g6.
For boys, b1,b2,b3
Girls take the first two seats and the last seat
We can fill 3 places in 6P3 ways = 120
We have 6 seats left which can be filled in 6! Ways = 720
120x720 = 86400 ways
