Question

8. In how many ways can 3 girls and 5 boys be arranged in a row so that all three girls are together? 9. If repetition is not allowed a. how many three-digit number can be formed from the digit 3,4,5,7,8 and 9? b. how many of them are even c. how many of them are greater than 400? d. how many of them are less than 500?

          8. In how many ways can 3 girls and 5 boys be arranged in a row so that all three girls are together?
9. If repetition is not allowed
a. how many three-digit number can be formed from the digit 3,4,5,7,8 and 9?
b. how many of them are even
c. how many of them are greater than 400?
d. how many of them are less than 500?

8. In how many ways can 3 girls and 5 boys be arranged in a row so that all three girls are together?
9. If repetition is not allowed
a. how many three-digit number can be formed from the digit 3,4,5,7,8 and 9?
b. how many of them are even
c. how many of them are greater than 400?
d. how many of them are less than 500?

Added by Carla H.

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

Instant Answer

Solved by Expert Christopher Dzorkpata

11/22/2021

Step 1

So, we have 4 entities: the group of three girls and the three boys. These entities can be arranged in a row in $4!$ ways. Within the group of three girls, the girls can be arranged in $3!$ ways. So, the total number of arrangements is $4! \cdot 3! = 24 \cdot 6 = Show more…

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In how many ways can girls and boys be arranged in a row so that all three girls are together? If repetition is not allowed, how many three-digit numbers can be formed from the digits 3, 4, 5, 7, 8, and 9? How many of them are even? How many of them are greater than 400? How many of them are less than 500?