Question

in how many ways 9 distinct things can be divided into two groups containing 5 and 4 things​

Answer 1

Answer:

Forming the first group by choosing 4 things out of 10 things,the total number of ways will be =

10

C

4

Now,forming these group by choosing 6 things,the total number of ways =

6

C

6

Therefore,the total number of ways =

10

C

4

∗

6

C

6

(4∗3∗2∗1)

(10∗9∗8∗7)

∗

(6∗5∗4∗3∗2∗1)

(6∗5∗4∗3∗2∗1)

2

72

∗

6

210

∗1

210∗1=210 ways