A-How-many-even-numbers-of-3-different-digits-bigger-than-300-can-be-formed-from-1-2-3-4-B-How-many-numbers-bigger-than-300-can-be-formed-from-the-same-group-

Question Number 180200 by Acem last updated on 09/Nov/22

A) H o w m a n y e v e n n u m b e r s o f 3 d i f f e r e n t d i g i t s

b i g g e r t h a n 300 c a n b e f o r m e d f r o m {1, 2, 3, 4}

B) H o w m a n y n u m b e r s b i g g e r t h a n 300 c a n

b e f o r m e d f r o m t h e s a m e g r o u p

Commented by Frix last updated on 09/Nov/22

6

Commented by Acem last updated on 09/Nov/22

R i g h t! t h a n k y o u, w e l l, p l e a s e, p u t t h e s o l u t i o n

m e t h o d i n a n s w e r s p a r t

Answered by Acem last updated on 09/Nov/22

Commented by Acem last updated on 09/Nov/22

A) {N u m}_{N u m b .} = 6

B) {N u m}_{N u m b .} = 288 S e e M r . W^{'} s n o t e a b o v e

Commented by Acem last updated on 09/Nov/22

A n d y e s I a g r r e w i t h M r . W t h a t t h e r e a r e i n f i n i t e

n u m b e r s o f i n f i n i t e d i g i t s!

Answered by Frix last updated on 09/Nov/22

312 314 324 342 412 432

6 numbers

Commented by Acem last updated on 09/Nov/22

G o o d, a n d {i t}^{'} s b e t t e r i s f o r m i n g a t r e e l i k e t h i s :

Commented by Acem last updated on 09/Nov/22

Commented by Acem last updated on 09/Nov/22

B u t w h a t i f t h e g r o u p S h a d i t e m s b i g g e r t h a n 4 ?

l i k e 6, 7, \dots, 10 n u m b e r s .

O r t h e n u m b e r s w e r e o f 9 d i g i t s ?

E v e n t h e t r e e m e t h o d w o u l d b e c o m p l e x

w e l l t r y t o f i n d o t h e r w a y t o s o l v e i t :)

Commented by Acem last updated on 09/Nov/22

N o t e : A n e w q u e s t i o n h a s b e e n a d d e d

Answered by Rasheed.Sindhi last updated on 09/Nov/22

B) \overset{―}{a b c}

a = 3 o r 4 : 2 w a y s

b : 4 w a y s

c : 4 w a y s

T o t a l w a y s 2 \cdot 4 \cdot 4 = 32

Commented by Acem last updated on 09/Nov/22

S o r r y) : t r y a g a i n \dots y o u w i l l d o i t!

Commented by Acem last updated on 09/Nov/22

{T h e r e}^{'} s a t r a p i n m y 2 n d q u e s t i o n

Answered by mr W last updated on 09/Nov/22

A)

2 \times 3 \times 2 = 12 n u m b e r s :

342

341

324

321

314

312

432

431

423

421

413

412

B)

a s s u m e d i f f e r e n t d i g i t s, t h e n

3 - d i g i t n u m b e r s : 12 n u m b e r s

4 - d i g i t n u m b e r s : 4! = 24 n u m b e r s

t o t a l l y : 36 n u m b e r s

i f d i g i t s m a y r e p e a t, t h e n w e c a n

f o r m i n f i n i t e n u m b e r s l a r g e r t h a n

300 .

Commented by JDamian last updated on 09/Nov/22

Mr. W, the question A says *even* numbers.

Commented by mr W last updated on 09/Nov/22

s o r r y i o v e r l o o k e d t h a t . t h a n k s!

Commented by Acem last updated on 09/Nov/22

Y e s S i r! t h a n k s (:

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