Advertisements
Advertisements
प्रश्न
How many numbers formed using the digits 3, 2, 0, 4, 3, 2, 3 exceed one million?
उत्तर
A number that exceeds one million is to be formed from the digits 3, 2, 0, 4, 3, 2, 3.
Then the numbers should be any number of 7 digits that can be formed from these digits.
Also among the given numbers 2 repeats twice and 3 repeats thrice.
∴ Required number of numbers
= Total number of arrangements possible among these digits − number of arrangements of 7 digits which begin with 0.
= `(7!)/(2!3!)-(6!)/(2!3!)`
= `(7xx6xx5xx4xx3!)/(2xx3!)-(6xx5xx4xx3!)/(2xx3!)`
= 7 × 6 × 5 × 2 −6 × 5 × 2
= 6 × 5 × 2(7 − 1)
= 60 × 6
= 360
∴ 360 numbers that exceed one million can be formed with the digits 3, 2, 0, 4, 3, 2, 3.
APPEARS IN
संबंधित प्रश्न
Delegates from 24 countries participate in a round table discussion. Find the number of seating arrangements where two specified delegates are always together.
Delegates from 24 countries participate in a round table discussion. Find the number of seating arrangements where two specified delegates are never together.
Five men, two women, and a child sit around a table. Find the number of arrangements where the child is seated between the two women.
Five men, two women, and a child sit around a table. Find the number of arrangements where the child is seated between two men.
Eight men and six women sit around a table. How many of sitting arrangements will have no two women together?
Find the number of words that can be formed by using all the letters in the word REMAIN. If these words are written in the dictionary order, what will be the 40th word?
Find the number of ways of distributing n balls in n cells. What will be the number of ways if each cell must be occupied?
Thane is the 20th station from C.S.T. If a passenger can purchase a ticket from any station to any other station, how many different ticket must be available at the booking window?
Find n if 6P2 = n 6C2
Find x if nPr = x nCr
Answer the following:
Find the value of r if 56Pr+6 : 54Pr+3 = 30800 : 1
Answer the following:
Capital English alphabet has 11 symmetric letters that appear same when looked at in a mirror. These letters are A, H, I, M, O, T, U, V, W, X, and Y. How many symmetric three letter passwords can be formed using these letters?
In a kabaddi championship, there were played 136 matches. Every team played one match with each other. The number of teams participating in the championship is ______
If r.v. X ∼ B`(n = 6, p = 1/4)`, then P(3 < X < 5) = ______
If 56Pr + 6 : 54Pr + 3 = 30800 : 1, then the value of r is ______.
