Respuesta :
Answer:
6. The word ‘COMMITTEE’ has 9 letters.
So it can be permuted in 9 ways, but we’ve got letters repeating there. To avoid the same arrangements happening again, we eliminate the repetitions.
M repeats twice. T Twice. E twice.
7. If it must be greater than 2000 , the first digit must either be 2 or 3 , which means you will have 2 choices. After that, there will be 3 choices for the second digit. Then there will be 2 choices for the third digit. Lastly there will be just 1 choice for the last digit.
The number of permutations becomes 2×3×2×1=12 .
Step-by-step explanation:
Answer:
#6
The word has 9 letters with 2 Ms, 2Ts and 2Es
We need 2 Ts together, this reduces the number of positions by one.
The number of ways:
- (9-1)!/2!2! = 8!/4 = 10080
#7
Digits 0, 1, 2, 3
Number should be greater than 2000, it means the number is:
- 2xxx ⇒ 3P3 = 3! = 6 ways
or
- 3xxx ⇒ 3P3 = 3! = 6 ways
Total permutations:
- 2*6 = 12