in how many ways 9 distinct things can be divided into two groups containing 5 and 4 things About the author Savannah
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 Reply
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