Factorial - practice problems

Direction: Solve each problem carefully and show your solution in each item.

Number of problems found: 116

Value
Find the value of the expression: 6!·10^-3
Big factorial
How many zeros end number 116! ?
Permutations without repetition
From how many elements can we create 720 permutations without repetition?
Expression: 4017
Specify the value of this expression: 4! · 2^-5
BRATISLAVA 35531
How many words can we make from all letters of the word BRATISLAVA?
Committees
How many different committees of 2 people can be formed from a class of 21 students?
How many 13
How many ways can X³ y⁴ z³ be written without an exponent?
Arrangements 63384
Determine the number of arrangements of these six elements: a, a, a, b, b, c.
Characters 63404
How many characters can we create from two commas and four dots?
Playing cards
How many possible ways are to shuffle 7 playing cards?
10! 45751
Cancel the expression with factorials: 12! x 2 x 7! / 6 x 10! 8!
Variations 5437
From how many elements can we create six times as many variations of the second class without repetition as variations of the third class without repetition?
Equation: 4472
Solve the equation: x!: 5 = 1008 The solution to the equation is a natural number.
Cancel fractions
Compress the expression of factorial: (n+6)!/(n+4)!-n!/(n-2)!
Parking 72644
How many ways can ten cars park side by side in a parking lot?
Four-letter 67124
How many different four-letter words can we create from the letters of the word JAMA?
Determine 4132
Determine the value of x in this equation: x! · 4 = x³. x is a natural number.
Possible combinations - word
How many ways can the letters F, A, I, and R be arranged?
Elements
If the number of elements is decreased by two, the number of permutations is decreased 30 times. How many elements are?
Words
How many 2 letters "words" are possible using 14 letters of the alphabet? a) without repetition b) with repetition

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