Question

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A number of four different digits is formed by using the digits 1,2,3,4,5,6 in all possible ways. Find how many of them are greater than 4500??​​

Answer 1

Answer:

144

Explanation:

heya!

start arranging numbers .greater than 4500. it can start with 4 in thousand's place and 5 in hundred 1 in tens and 2 in ones's

so,

4512 is smallest nummber which is greater than 4500. Now continue

4513

4516

4521

4523

4526

4531

4532

4536

4561

4562

4563

.......

Now,

these number make 12 pairs when

i)4 is in thousands place and 5 in hundred's place

ii) 4 is in thousands place and 6 in hundred's place

iii)  5 is in thousand and 1 in hundred.

iv)5 is in thousands place and 2 in hundred's place

v)5 is in thousands place and 3 in hundred's place

vi)5 is in thousands place and 4 in hundred's place

vii) 5 is in thousands place and 6 in hundred's place

viii)6 is in thousands place and 1 in hundred's place

ix) 6 is in thousands place and 2 in hundred's place

x)6 is in thousands place and 3 in hundred's place

xi)6 is in thousands place and 4 in hundred's place

xii) 6 is in thousands place and 5 in hundred's place.

So there are 12 possibilities where no. of number is 12.

So,12 * 12 = 144.

Therefore, final answer is 144.

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