Permutations and Combinations
Nine hundred distinct n digit numbers are to be formed using only the three digits 2,5 and 7. the smallest value of n for which this is possible is
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In how many ways can a team of 3 boys and 3 girls be selected from 5 boys and 4 girls?
Find the number of 4-digit numbers that can be formed using the digits 1, 2, 3, 4, 5 if no digit is repeated. How many of these will be even?
A committee of 7 has to be formed from 9 boys and 4 girls. In how many ways can this be done when the committee consists of:(i) exactly 3 girls ? (ii) atleast 3 girls ? (iii) atmost 3 girls ?
then find the value of n˙
If 8!1+9!1=10!x,find x
A number of 18 guests have to be seated, half on each side of a long table. Four particular guests desire to sit on one particular side and three others on the other side. Determine the number of ways in which the sitting arrangements can be made.
The number of different ways in which five "alike dashes" and "eight alike" dots can be arranged using only seven of these "dashes" and "dots" is a. 350
d. none of these
Numbers greater than 1000 but not greater than 4000 which can be formed with the digits 0, 1, 2, 3, 4 (repetition of digits is allowed) are
a. 350 b. 375 c. 450 d. 576