Advertisements
Advertisements
प्रश्न
How many six-digit telephone numbers can be formed if the first two digits are 45 and no digit can appear more than once?
Advertisements
उत्तर
Let the telephone number be 45 abcd
| Number of ways to fill | |
| a | 8 |
| b | 7 |
| c | 6 |
| d | 5 |
Required number = 8P4 = 1680
APPEARS IN
संबंधित प्रश्न
if `1/(6!) + 1/(7!) = x/(8!)`, find x
In how many ways can the letters of the word ASSASSINATION be arranged so that all the S’s are together?
Find x in each of the following:
Which of the following are true:
(2 +3)! = 2! + 3!
In how many ways can three jobs I, II and III be assigned to three persons A, B and C if one person is assigned only one job and all are capable of doing each job?
Find the number of ways in which 8 distinct toys can be distributed among 5 childrens.
Evaluate each of the following:
A 5-digit number divisible by 3 is to be formed using the digits 0, 1, 2, 3, 4 and 5 without repetition. The total number of ways in which this can be done is
In how many ways 5 boys and 3 girls can be seated in a row, so that no two girls are together?
The total number of 9 digit number which has all different digit is:
The number of ways to arrange the letters of the word “CHEESE”:
In how many ways 4 mathematics books, 3 physics books, 2 chemistry books and 1 biology book can be arranged on a shelf so that all books of the same subjects are together
How many strings are there using the letters of the word INTERMEDIATE, if the vowels and consonants are alternative
If the letters of the word GARDEN are permuted in all possible ways and the strings thus formed are arranged in the dictionary order, then find the ranks of the words
GARDEN
Find the sum of all 4-digit numbers that can be formed using digits 0, 2, 5, 7, 8 without repetition?
The number of different words that can be formed from the letters of the word INTERMEDIATE such that two vowels never come together is ______.
Five boys and five girls form a line. Find the number of ways of making the seating arrangement under the following condition:
| C1 | C2 |
| (a) Boys and girls alternate: | (i) 5! × 6! |
| (b) No two girls sit together : | (ii) 10! – 5! 6! |
| (c) All the girls sit together | (iii) (5!)2 + (5!)2 |
| (d) All the girls are never together : | (iv) 2! 5! 5! |
If m+nP2 = 90 and m–nP2 = 30, then (m, n) is given by ______.
