# First Year Math Permutation, Combination and Probability

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$Q.48 If { }^{n} C_{3}={ }^{n} C_{12} then the value of n equal to :(a) 4(b) 8(c) 20(d) 12$

$8. Find the numbers greater than 23000 that can be formed from the digits 12356 without repeating any digit.HINT: The first two digits on L.H.S. will be 23 etc.$

$2. Write each of the following in the factorial form:iii) 20.19 .18 .17$

$Q.26 { }^{n} C_{r} is equal to :(a) \frac{n !}{(n-r) ! r !} (b) \frac{n !}{(n-r) !} (c) \frac{n !}{r !} (d) \frac{(n-r) ! r !}{n !}$

$6. How many words can be formed from the letters of the following words using all letters when no letter is to be repeated:iii) FASTING?$

$2. Write each of the following in the factorial form: i) 6.5 .4 .$