Home
Class 11
MATHS
A seven-digit number is in the form of a...

A seven-digit number is in the form of abcdefg (g,f,e, `cdots` etc. are digits at units, tens, hundred place ....etc) where `a lt b lt c lt d gt e f gt g` and a,b,c,e,f,g are different digits . The number of such numbers is

A

1980

B

1116

C

1560

D

1476

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Similar Questions

Explore conceptually related problems

Suppose the digits of a positive integer, having three digits ,are in A.P . And their sum is 15 .Can you assume the digits in hundreds place ,tens place as. a-b,a and a+b ? If in addition the number obtained by reversing the digits is 594 less than the original number , find the three digit number.

If U = {a,b,c,d,e,f,g,h}, find the complements of the following sets:A = {a,b,c}

If U = {a,b,c,d,e,f,g,h}, find the complements of the following sets:B = {d,e,f,g}

If U = {a,b,c,d,e,f,g,h}, find the complements of the following sets:D = {f,g,h,a}

Show that there are 300 numbers gt 1000 and lt 10,000 which can be formed with the six digits 0,1,2,3,4,5, each digit appearing not more than once in such a number

The average of the four -digit numbers that can be formed using each of the digits 3,5,7 and 9 exactly once in each number is a)4444 b)5555 c)6666 d)7777

How many numbers with not more than three digits can be formed using only the digits 1 through 7 with no digit used more than once in a given number? a)259 b)249 c)257 d)252

In the diagram giveri, parts labelled as a, b, c, d, e and f are respectively identified as