The number of ways in which 9 things can be divided into twice groups containing 2,3 and 4 things respectively is ?
Answers
Answered by
102
Solution:-
The total number of things = 9
Forming the first group by choosing 2 things out of 9 things, the total number of ways will be = 9c₂
Now, forming the second group by choosing 3 things out of remaining 7 things, the total number of ways = 7c₃
And forming the third group by choosing 4 things out of the remaining 4 things, the total number of ways = 4c₄
Therefore, the total number of ways = 9c₂ × 7c₃ × 4c₄
(9*8)/(2*1) × (7*6*5)/(3*2*1) × (4*3*2*1)/(4*3*2*1)
72/2 × 210/6 × 1
36 × 35
= 1260 ways
Answer.
The total number of things = 9
Forming the first group by choosing 2 things out of 9 things, the total number of ways will be = 9c₂
Now, forming the second group by choosing 3 things out of remaining 7 things, the total number of ways = 7c₃
And forming the third group by choosing 4 things out of the remaining 4 things, the total number of ways = 4c₄
Therefore, the total number of ways = 9c₂ × 7c₃ × 4c₄
(9*8)/(2*1) × (7*6*5)/(3*2*1) × (4*3*2*1)/(4*3*2*1)
72/2 × 210/6 × 1
36 × 35
= 1260 ways
Answer.
Answered by
12
Answer:
(B) ------> 1260
I HOPE THAT YOUR DOUBT GOT FULLY CLEARED
PLEASE MARK ME AS BRAINLIEST
Attachments:
Similar questions